Persons
prof. RNDr. Josef Tkadlec, CSc.
All publications
Associativity and Distributivity-Like Properties in Generalized Effect Algebras
- Authors: prof. RNDr. Josef Tkadlec, CSc., Žáček, P.
- Publication: International Journal of Theoretical Physics. 2023, 62(6), ISSN 0020-7748.
- Year: 2023
- DOI: 10.1007/s10773-023-05371-3
- Link: https://doi.org/10.1007/s10773-023-05371-3
- Department: Department of Mathematics
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Annotation:
We prove "large" associativity of the partial plus operation in generalized effect algebras and present an overview of distributivity-like properties of partial operations plus and minus in generalized effect algebras with respect to (possibly infinite) suprema and infima and vice versa. These results generalize previous results in various subclasses of generalized effect algebras.
Interpolations in Posets and Effect Algebras
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: International Journal of Theoretical Physics. 2021, 60(2), 551-557. ISSN 0020-7748.
- Year: 2021
- DOI: 10.1007/s10773-019-04079-7
- Link: https://doi.org/10.1007/s10773-019-04079-7
- Department: Department of Mathematics
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Annotation:
We study various types of the interpolation property in posets and effect algebras. We present connections to other properties of posets and effect algebras (completeness, orthocompleteness, maximality property) and a theorem about preserving compatibility to suprema and infima using an interpolation property.
Weakly Jauch-Piron States in Effect Algebras
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: International Journal of Theoretical Physics. 2021, 60(3), 865-869. ISSN 0020-7748.
- Year: 2021
- DOI: 10.1007/s10773-020-04709-5
- Link: https://doi.org/10.1007/s10773-020-04709-5
- Department: Department of Mathematics
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Annotation:
We study various types of weakly Jauch-Piron states and various types of state-space properties in effect algebras. We generalize several results of Tkadlec (Tatra Mt. Math. Publ. 10, 55-62 1997; Algebra Universalis 61, 187-194 2009) and of Matousek and Ptak (Internat. J. Theoret. Phys. 54, 4476-4481 2015). In particular, we show when an effect algebra is an orthomodular poset, when a unital set of states is strongly order determining, and we present some state space characterizations of Boolean algebras.
Properties of Effect Algebras Based on Sets of Upper Bounds
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: International Journal of Theoretical Physics. 2017, 56(12), 4133-4142. ISSN 0020-7748.
- Year: 2017
- DOI: 10.1007/s10773-017-3522-4
- Link: https://doi.org/10.1007/s10773-017-3522-4
- Department: Department of Mathematics
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Annotation:
We give an overview and clear up some relations between various properties of effect algebras based on properties of sets of upper bounds, e.g., completeness, orthocompleteness, weak orthocompleteness, maximality property, interpolation property.
Distributivity and associativity in effect algebras
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Fuzzy Sets and Systems. 2016, 289 151-156. ISSN 0165-0114.
- Year: 2016
- DOI: 10.1016/j.fss.2015.06.0250165
- Link: https://doi.org/10.1016/j.fss.2015.06.0250165
- Department: Department of Mathematics
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Annotation:
We prove "large associativity" of the partial sum in effect algebras and present an overview of distributivity-like properties of partial operations circle plus and circle minus in effect algebras with respect to ( possibly infinite) suprema and infima and vice versa generalizing several previous results. (C) 2015 Elsevier B.V. All rights reserved.
States on effect algebras, their products and horizontal sums
- Authors: prof. RNDr. Josef Tkadlec, CSc., Žáček, P.
- Publication: Mathematica Slovaca. 2016, 66(5), 1029-1036. ISSN 0139-9918.
- Year: 2016
- DOI: 10.1515/ms-2015-0200
- Link: https://doi.org/10.1515/ms-2015-0200
- Department: Department of Mathematics
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Annotation:
We study states (two-valued, extremal, Jauch-Piron, resp.) and properties of the set of such states (empty, unital, order determining, strongly order determining) on products and horizontal sums of effect algebras.
Atomic effect algebras with compression bases
- Authors: Caragheorgheopol, D., prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Journal of Mathematical Physics. 2011, 52(1), ISSN 0022-2488.
- Year: 2011
- DOI: 10.1063/1.3533918
- Link: https://doi.org/10.1063/1.3533918
- Department: Department of Mathematics
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Annotation:
Compression base effect algebras were recently introduced by Gudder [Demonstr. Math. 39, 43 (2006)]. They generalize sequential effect algebras [Rep. Math. Phys. 49, 87 (2002)] and compressible effect algebras [Rep. Math. Phys. 54, 93 (2004)]. The present paper focuses on atomic compression base effect algebras and the consequences of atoms being foci (so-called projections) of the compressions in the compression base. Part of our work generalizes results obtained in atomic sequential effect algebras by Tkadlec [Int. J. Theor. Phys. 47, 185 (2008)]. The notion of projection-atomicity is introduced and studied, and several conditions that force a compression base effect algebra or the set of its projections to be Boolean are found. Finally, we apply some of these results to sequential effect algebras and strengthen a previously established result concerning a sufficient condition for them to be Boolean. (C) 2011 American Institute of Physics. [doi: 10.1063/1.3533918]
Characterizations of Spectral Automorphisms and a Stone-Type Theorem in Orthomodular Lattices
- Authors: Caragheorgheopol, D., prof. RNDr. Josef Tkadlec, CSc.,
- Publication: International Journal of Theoretical Physics. 2011, 50(12), 3750-3760. ISSN 0020-7748.
- Year: 2011
- DOI: 10.1007/s10773-011-0738-6
- Link: https://doi.org/10.1007/s10773-011-0738-6
- Department: Department of Mathematics
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Annotation:
The notion of spectral automorphism of an orthomodular lattice was introduced by Ivanov and Caragheorgheopol (Int. J. Theor. Phys. 49(12):3146-3152, 2010) to create an analogue of the Hilbert space spectral theory in the abstract framework of orthomodular lattices. We develop the theory of spectral automorphisms finding previously missing characterizations of spectral automorphisms, discussing several examples and the possibility to construct such automorphisms in direct products or horizontal sums of lattices. A factorization of the spectrum of a spectral automorphism is found. The last part of the paper addresses the problem of the unitary time evolution of a system from the point of view of the spectral automorphisms theory. An analogue of the Stone theorem concerning strongly continuous one-parameter unitary groups is given.
Commutative bounded integral residuated orthomodular lattices are Boolean algebras
- Authors: prof. RNDr. Josef Tkadlec, CSc., Turunen, E.
- Publication: Soft Computing. 2011, 15(4), 635-636. ISSN 1432-7643.
- Year: 2011
- DOI: 10.1007/s00500-010-0572-4
- Link: https://doi.org/10.1007/s00500-010-0572-4
- Department: Department of Mathematics
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Annotation:
We show that a commutative bounded integral orthomodular lattice is residuated iff it is a Boolean algebra. This result is a consequence of (Ward, Dilworth in Trans Am Math Soc 45, 336-354, 1939, Theorem 7.31); however, out proof is independent and uses other instruments.
Note on Generalizations of Orthocomplete and Lattice Effect Algebras
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: International Journal of Theoretical Physics. 2011, 50(12), 3915-3918. ISSN 0020-7748.
- Year: 2011
- DOI: 10.1007/s10773-011-0781-3
- Link: https://doi.org/10.1007/s10773-011-0781-3
- Department: Department of Mathematics
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Annotation:
It is proved that two different common generalizations of orthocomplete and lattice effect algebras coincide within the class of separable Archimedean effect algebras.
Common generalizations of orthocomplete and lattice effect algebras
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: International Journal of Theoretical Physics. 2010, 2010(49), 2279-2285. ISSN 0020-7748.
- Year: 2010
- DOI: 10.1007/s10773-009-0108-9
- Link: https://doi.org/10.1007/s10773-009-0108-9
- Department: Department of Mathematics
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Annotation:
Connections between various generalizations of orthocomplete and lattice effect algebras are shown. Archimedean weakly orthocomplete effect algebras are characterized.
Classes of Effect Algebras
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Abstracts of the International Conference Quantum Structures 2009. Bratislava: Vydavatel'stvo STU, 2009. pp. 72. ISBN 978-80-227-3175-1.
- Year: 2009
- Department: Department of Mathematics
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Annotation:
Various generalizations of orthocomplete and lattice effect algebras and the relations between them are presented.
Effect Algebras with the Maximality Property
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Algebra universalis. 2009, 61(2), 187-194. ISSN 0002-5240.
- Year: 2009
- DOI: 10.1007/s00012-009-0013-3
- Link: https://doi.org/10.1007/s00012-009-0013-3
- Department: Department of Mathematics
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Annotation:
We show that the maximality property generalizes various conditions used in the theory of effect algebras. Some consequences are presented, (especially for Jauch-Piron states).
On the Solution of Trivalent Decision Problems by Quantum State Identification
- Authors: Svozil, K., prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Natural Computing. 2009, 8(3), 539-546. ISSN 1567-7818.
- Year: 2009
- DOI: 10.1007/s11047-009-9112-5
- Link: https://doi.org/10.1007/s11047-009-9112-5
- Department: Department of Mathematics
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Annotation:
It is shown that for the separation of trivalent functions by means of states in a three-dimensional space three orthogonal basis are needed.
Atomic Sequential Effect Algebras
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: International Journal of Theoretical Physics. 2008, 47(1), 185-192. ISSN 0020-7748.
- Year: 2008
- DOI: 10.1007/s10773-007-9492-1
- Link: https://doi.org/10.1007/s10773-007-9492-1
- Department: Department of Mathematics
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Annotation:
Various conditions ensuring that a sequential effect algebra or the set of sharp elements of a sequential effect algebra is a Boolean algebra are presented.
Atomistic and Orthoatomistic Effect Algebras
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Journal of Mathematical Physics. 2008, 49(5), 1. ISSN 0022-2488.
- Year: 2008
- DOI: 10.1063/1.2912228
- Link: https://doi.org/10.1063/1.2912228
- Department: Department of Mathematics
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Annotation:
We characterize atomistic effect algebras, prove that a weakly orthocomplete Archimedean effect algebra is orthoatomistic and present an example of an orthoatomistic orthomodular poset that is not weakly orthocomplete
Repeating Operations ande Relations in the Breakings
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Zpravodaj CSTUG. 2007, 17(2), 103-105. ISSN 1211-6661.
- Year: 2007
- Department: Department of Mathematics
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Annotation:
The solutions for repeating of operations and relations in line breakings in TeX are presented.
Central elements of atomic effect algebras
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: International Journal of Theoretical Physics. 2005, 2005(44), 2295-2302. ISSN 0020-7748.
- Year: 2005
- DOI: 10.1007/s10773-005-9024-9
- Link: https://doi.org/10.1007/s10773-005-9024-9
- Department: Department of Mathematics
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Annotation:
Central atoms in effect algebras are characterized. Various conditions ensuring that an atomic effect algebra is a Boolean algebra are presented.
Central elements of effect algebras
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: International Journal of Theoretical Physics. 2004, 2004(43), 1363-1369. ISSN 0020-7748.
- Year: 2004
- Department: Department of Mathematics
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Annotation:
Central elements of an effect algebra are characterized by means of a weak form of distributivity and of a maximality property. Examples of effect algebras fulfilling these conditions are presented.
Compatibility and States in Quantum Structures
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Proceedings of the Quantum Structures 2004. New Mexico: New Mexico State University, 2004. pp. 33.
- Year: 2004
- Department: Department of Mathematics
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Annotation:
Some recent results concerning compatibility and state properties in quantum structures and their consequences to the axiomatics are presented
Formal Aspects of a multiple-rule classifier
- Authors: prof. RNDr. Josef Tkadlec, CSc., Bruha, I.
- Publication: International Journal of Pattern Recognition and Artificial Intelligence. 2003,(17), 581-600. ISSN 0218-0014.
- Year: 2003
- Department: Department of Mathematics
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Annotation:
The problem gives a common background for the multiple-rule problem which arises when several decision rules match.
Rule Quality for Multiple-rule Classifier: Empirical Expertise and Theoretical Methodology
- Authors: prof. RNDr. Josef Tkadlec, CSc., Bruha, I.
- Publication: Intelligent Data Analysis. 2003, 2003(7), 99-124. ISSN 1088-467X.
- Year: 2003
- Department: Department of Mathematics
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Annotation:
The paper surveys empirical and statistical formulas of the rule quality and compaire their characteristics.
Text Spaces in TeX
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Zpravodaj CSTUG. 2002, 12(1), 21-35. ISSN 1211-6661.
- Year: 2002
- Department: Department of Mathematics
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Annotation:
Typographical rules for spaces in czech texts and their implemetation in the typesettting system TeX are presented.
Representations of Orthomodular Structures
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Algebra, Logic and Applied 16. Amsterdam: Gordon and Breach Science Publishers, 2001. p. 153-158. ISBN 90-5699-325-9.
- Year: 2001
- Department: Department of Mathematics
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Annotation:
Various types of representations of orthomodular structures are presented: topological, orthogonality diagrams, Greechie Diagrams and dual diagrams.
Diagrams of Kochen-Specker Type Constructions
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: International Journal of Theoretical Physics. 2000, 39 921-926. ISSN 0020-7748.
- Year: 2000
- Department: Department of Mathematics
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Annotation:
Orthogonality diagrams of the so-called Kochen-Specker type constructions (quantum logics without any two-valued state) are presemnted.
Mathematical Models of Uncertainty
- Authors: prof. Ing. Mirko Navara, DrSc., Hekrdla, J., prof. RNDr. Pavel Pták, DrSc., prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Proceedings of Workshop 2000. Praha: České vysoké učení technické v Praze, 2000, pp. 30. ISBN 80-01-02229-3.
- Year: 2000
- Department: Department of Mathematics, Department of Cybernetics
Triangular Norms with Non-continuous Generators
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Abstracts of 5th Int. Conf. Fuzzy Sets Theory Appl. Liptovský Mikuláš: Vojenská akadémia, 2000. pp. 171-172.
- Year: 2000
- Department: Department of Mathematics
Representations of Orthomodular Structures
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Proceedings of Workshop 99. Praha: České vysoké učení technické v Praze, 1999. pp. 48.
- Year: 1999
- Department: Department of Mathematics
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Annotation:
Various attempts how to represent orthomodular structures are presented.
Triangular Norms with Continuous Diagonals
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Tatra Mountains Mathematical Publications. 1999,(16), 187-195. ISSN 1210-3195.
- Year: 1999
- Department: Department of Mathematics
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Annotation:
Some properties of triangular norms wit continuous diagonals are given.
Concrete Quantum Logics with Generalized Compantibility
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Mathematica Bohemica. 1998, 123 213-218. ISSN 0862-7959.
- Year: 1998
- Department: Department of Mathematics
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Annotation:
Several results stating when a concrete logic with covering properties are Boolean algebras are presented.
Dual Diagrams and Kochen-Specker Type Constructions
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Abstracts of Quantum Structures 98. Liptovský Mikuláš: Vojenská akadémia, 1998. pp. 93.
- Year: 1998
- Department: Department of Mathematics
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Annotation:
Dual Diagrams and Kochen-Specker Type Constructions
Greechie Diagrams of Small Quantum Logics with Small State Spaces
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: International Journal of Theoretical Physics. 1998, 37(1), 203-209. ISSN 0020-7748.
- Year: 1998
- Department: Department of Mathematics
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Annotation:
Greechie diagrams of several small quantum logics with a small state space are presented.
Representations of Orthomodular Structures
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Abstracts of OAS 98. Nanjing: Nanjing University, 1998. pp. 21.
- Year: 1998
- Department: Department of Mathematics
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Annotation:
Representations of Orthomodular Structures
State Spaces of Quantum Logics
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Workshop 98. Praha: České vysoké učení technické v Praze, 1998. pp. 37-38.
- Year: 1998
- Department: Department of Mathematics
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Annotation:
State Spaces of Quantum Logics
Triangular Norms with Continuous Diagonals
- Authors: Mesiar, R., prof. Ing. Mirko Navara, DrSc., prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Abstracts of the 4th Conference FSTA. Liptovský Mikuláš: Vojenská akadémia, 1998, pp. 76.
- Year: 1998
- Department: Department of Mathematics, Department of Cybernetics
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Annotation:
Triangular norms with continuous diagonals
Classes of Orthomodular Posets
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Abstracts of IQSA's Conference '97. Atlanta: Georgia Institute of Technology, 1997. pp. 10.
- Year: 1997
- Department: Department of Mathematics
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Annotation:
Classes of Orthomodular Posets
Conditions that Force an Orthomodular Poset to Be a Boolean Algebra
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Tatra Mountains Mathematical Publications. 1997,(10), 55-62. ISSN 1210-3195.
- Year: 1997
- Department: Department of Mathematics
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Annotation:
Simple conditions forcing an orthomodular poset to be a Boolean algebra are given
The Solution to a Problem Posed by P. Konopka
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Tatra Mountains Mathematical Publications. 1997,(10), 29-31. ISSN 1210-3195.
- Year: 1997
- Department: Department of Mathematics
Bell-type inequalities in orthomodular lattices. I: Inequalities of order
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Zentralblatt für Mathematik. 1996,(842), 29. ISSN 0044-4235.
- Year: 1996
- Department: Department of Mathematics
Bell-type inequalities in orthomodular lattices. II: Onequalities of higher order
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Zentralblatt für Mathematik. 1996,(842), 29. ISSN 0044-4235.
- Year: 1996
- Department: Department of Mathematics
Greechie Diagrams, Nonexistence of Measures and Kochen-Specker Type Constructions
- Authors: Svozil, K., prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Journal of Mathematical Physics. 1996, 37(11), 5380-5401. ISSN 0022-2488.
- Year: 1996
- Department: Department of Mathematics
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Annotation:
We use Greechie diagrams to construct finite orthomodular lattices realizable in a three-dimensional Hilbert space with not large set of measures and discuss te number of their elements and their (ortho)generators.
Quantum logics with small state spaces (Kochen-Specker type construction)
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Book of ABSTRACTS QUANTUM STRUCTURES 96. Berlin: Technische Universität, 1996. pp. 90-91.
- Year: 1996
- Department: Department of Mathematics
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Annotation:
Quantum Logics with Small State Spaces (Kochen-Specker Type Construction)
Strong law of large numbers in D-posets
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Zentralblatt für Mathematik. 1996,(843), 22. ISSN 0044-4235.
- Year: 1996
- Department: Department of Mathematics
The Dog-and-Rabbit Chase Revisited
- Authors: prof. RNDr. Pavel Pták, DrSc., prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Acta Polytechnica. 1996, 36(1), 5-10. ISSN 1210-2709.
- Year: 1996
- Department: Department of Mathematics
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Annotation:
For the dog-and-rabbit-chase problem we find an explicit description of the dog's path and the duration of the chase.
Typography and Computers
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Mensa. 1996, 4(10), 15-18. ISSN 1211-8877.
- Year: 1996
- Department: Department of Mathematics
A Relationship Between Intersection Conditions and Porosity Conditions for Local Systems
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Mathematical Reviews. 1995,(q), 3900. ISSN 0025-5629.
- Year: 1995
- Department: Department of Mathematics
Abacus Logic: the Lattice of Quantum Propositions as the Poset of a Theory
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Zentralblatt für Mathematik. 1995,(806), 29. ISSN 0044-4235.
- Year: 1995
- Department: Department of Mathematics
Difference Posets, Effects, and Quantum Measurements
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Mathematical Reviews. 1995,(k), 7028. ISSN 0025-5629.
- Year: 1995
- Department: Department of Mathematics
Kernel Logics
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Zentralblatt für Mathematik. 1995,(806), 29-30. ISSN 0044-4235.
- Year: 1995
- Department: Department of Mathematics
Orthosummable Orthoalgebras
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Zentralblatt für Mathematik. 1995,(818), 17. ISSN 0044-4235.
- Year: 1995
- Department: Department of Mathematics
Subadditivity of States on Quantum Logics
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: International Journal of Theoretical Physics. 1995, 34(10), 1767-1774. ISSN 0020-7748.
- Year: 1995
- Department: Department of Mathematics
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Annotation:
Various concepts of subadditivity are compared. Several results when a quantum logic with sufficiently many properly subadditive states has to be a Boolean algebra are presented.
Boolean Orthoposets - Concreteness and Orthocompleteness
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Mathematica Bohemica. 1994, 119 123-128. ISSN 0862-7959.
- Year: 1994
- Department: Department of Mathematics
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Annotation:
It is shown that a Boolean orthoposet is concrete and that an orthocomplete Boolean orthoposet is a Boolean algebra.
Noncommutative Probability Theory and Its Applications
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: CTU Seminar 94. Praha: České vysoké učení technické v Praze, 1994. pp. 39-40.
- Year: 1994
- Department: Department of Mathematics
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Annotation:
Various results illustrating the difference between classical and noncommutative probability theory are presented.
Subadditive measures on orthoposets
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Abstracts Quantum Structures 94. Praha: České vysoké učení technické v Praze, 1994. pp. 23.
- Year: 1994
- Department: Department of Mathematics
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Annotation:
Subadditive measures on orthoposets
An Ergodic Theorem in General Ordered Systems
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Zentralblatt für Mathematik. 1993,(763), 104. ISSN 0044-4235.
- Year: 1993
- Department: Department of Mathematics
Boolean Orthoposets and Two-valued Jauch-Piron States
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Tatra Mountains Mathematical Publications. 1993,(3), 155-160. ISSN 1210-3195.
- Year: 1993
- Department: Department of Mathematics
Partially Additive Measures and Set Representations of Orthoposets
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Journal of Pure and Applied Algebra. 1993, 86(1), 79-94. ISSN 0022-4049.
- Year: 1993
- Department: Department of Mathematics
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Annotation:
Partially Additive Measures and Set Representations of Orthoposets
Properties of Boolean Orthoposets
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: International Journal of Theoretical Physics. 1993, 32(10), 1993-1997. ISSN 0020-7748.
- Year: 1993
- Department: Department of Mathematics
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Annotation:
Properties of Boolean Orthoposets
The Solution of Problems About Weights
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Mensa. 1993, 1(10), 9. ISSN 1211-8877.
- Year: 1993
- Department: Department of Mathematics
The Solution to a Problem Posed by V. Palko
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Zentralblatt für Mathematik. 1993,(765), 194. ISSN 0044-4235.
- Year: 1993
- Department: Department of Mathematics
Boolean orthoposets and two-valued states on them
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Reports on Mathematical Physics. 1992, 31(3), 311-316. ISSN 0034-4877.
- Year: 1992
- DOI: 10.1016/0034-4877(92)90021-R
- Link: https://doi.org/10.1016/0034-4877(92)90021-R
- Department: Department of Mathematics
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Annotation:
The connection between Boolean orthoposets and orthoposets and orthoposets with enough Jauch-Piron states is clarified.
Concrete Quantum Logics With Covering Properties
- Authors: prof. RNDr. Pavel Pták, DrSc., prof. RNDr. Josef Tkadlec, CSc., Muller, V.
- Publication: International Journal of Theoretical Physics. 1992, 31(5), 843-854. ISSN 0020-7748.
- Year: 1992
- DOI: 10.1007/BF00678549
- Link: https://doi.org/10.1007/BF00678549
- Department: Department of Mathematics
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Annotation:
Various classes of logics with covering properties are studied
Automorphisms of Concrete Logics
- Authors: prof. RNDr. Josef Tkadlec, CSc., Navara, M.
- Publication: Commentationes Mathematicae Universitatis Carolinae. 1991, 32(1), 15-25. ISSN 0010-2628.
- Year: 1991
- Department: Department of Mathematics
Automorphisms of concrete logics
- Authors: prof. Ing. Mirko Navara, DrSc., prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Commentationes Mathematicae Universitatis Carolinae. 1991, 32(1), 15-25. ISSN 0010-2628.
- Year: 1991
- Department: Department of Mathematics, Department of Cybernetics
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Annotation:
Automorphisms of concrete logics
Partially Additive States on Orthomodular Posets
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Colloquium Mathematicum. 1991, 62(1), 7-14. ISSN 0010-1354.
- Year: 1991
- Department: Department of Mathematics
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Annotation:
Partially additive states on orthomodular posets are studied and a set representation of an orthomodular poset is constructed such that for a given Boolean subalgebra the Stone representation is obtained.
Constructions of a Finite Borel Measure with Sigma-Porous Sets as Null Sets
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Real Analysis Exchange. 1987, 12(2), 473-482. ISSN 1425-6908.
- Year: 1987
- Department: Department of Mathematics
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Annotation:
A finite Borel measure such that all sigma-porous sets are null sets is constructed.
Constructions of some non-sigma-porous sets on the real line
- Authors: prof. RNDr. Josef Tkadlec, CSc.,
- Publication: Real Analysis Exchange. 1983, 9 473-482. ISSN 0147-1937.
- Year: 1983
- Department: Department of Mathematics
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Annotation:
Some non-sigma porous sets on the real line were constructed.