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81P10 Logical foundations of quantum mechanics; quantum logic (98 articles)

• Bińczak, Grzegorz; Kaleta, Joanna; Zembrzuski, Andrzej: Matrix representation of finite effect algebras. (English). Kybernetika, vol. 59 (2023), issue 5, pp. 737-751
• Pulmannová, Sylvia; Vinceková, Elena: Remarks on effect-tribes. (English). Kybernetika, vol. 51 (2015), issue 5, pp. 739-746
• Dixon, Geoffrey: Seeable matter; unseeable antimatter. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 55 (2014), issue 3, pp. 381-386
• Olejček, Vladimír: Fractal construction of an atomic Archimedean effect algebra with non-atomic subalgebra of sharp elements. (English). Kybernetika, vol. 48 (2012), issue 2, pp. 294-298
• Riečanová, Zdenka: Lattice effect algebras densely embeddable into complete ones. (English). Kybernetika, vol. 47 (2011), issue 1, pp. 100-109
• Jenčová, Anna; Pulmannová, Silvia; Vinceková, Elena: Observables on $\sigma $-MV algebras and $\sigma $-lattice effect algebras. (English). Kybernetika, vol. 47 (2011), issue 4, pp. 541-559
• Olejček, Vladimír: Every uniformly Archimedean atomic MV-effect algebra is sharply dominating. (English). Kybernetika, vol. 46 (2010), issue 6, pp. 948-952
• Paseka, Jan; Riečanová, Zdenka: Atomicity of lattice effect algebras and their sub-lattice effect algebras. (English). Kybernetika, vol. 45 (2009), issue 6, pp. 1040-1051
• Pulmannová, Silvia; Vinceková, Elena: Congruences and ideals in lattice effect algebras as basic algebras. (English). Kybernetika, vol. 45 (2009), issue 6, pp. 1030-1039
• Matoušek, Milan; Pták, Pavel: Symmetric difference on orthomodular lattices and $Z_2$-valued states. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 50 (2009), issue 4, pp. 535-547
• Riečanová, Zdenka: The existence of states on every Archimedean atomic lattice effect algebra with at most five blocks. (English). Kybernetika, vol. 44 (2008), issue 3, pp. 430-440
• Vinceková, Elena: New operations on partial Abelian monoids defined by preideals. (English). Kybernetika, vol. 44 (2008), issue 3, pp. 441-450
• Olejček, Vladimír: An atomic MV-effect algebra with non-atomic center. (English). Kybernetika, vol. 43 (2007), issue 3, pp. 343-346
• de Simone, Anna; Pták, Pavel: Group-valued measures on coarse-grained quantum logics. (English). Czechoslovak Mathematical Journal, vol. 57 (2007), issue 2, pp. 737-746
• Pulmannová, Sylvia; Vinceková, E.: Remarks on the order for quantum observables. (English). Mathematica Slovaca, vol. 57 (2007), issue 6, pp. [589]-600
• Chajda, Ivan: Ring-like structures derived from $\lambda $-lattices with antitone involutions. (English). Mathematica Bohemica, vol. 132 (2007), issue 1, pp. 87-96
• Riečanová, Zdenka: Archimedean atomic lattice effect algebras in which all sharp elements are central. (English). Kybernetika, vol. 42 (2006), issue 2, pp. 143-150
• Pulmannová, Sylvia: Extensions of partially ordered partial abelian monoids. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 1, pp. 155-178
• Gudder, Stan: An order for quantum observables. (English). Mathematica Slovaca, vol. 56 (2006), issue 5, pp. 573-589
• Pulmannová, Sylvia: Spectral resolutions for $\sigma$-complete lattice effect algebras. (English). Mathematica Slovaca, vol. 56 (2006), issue 5, pp. 555-571
• Foulis, David J.: Compressible groups with general comparability. (English). Mathematica Slovaca, vol. 55 (2005), issue 4, pp. 409-429
• Jakubík, Ján: Direct product decompositions of pseudo effect algebras. (English). Mathematica Slovaca, vol. 55 (2005), issue 4, pp. 379-398
• Riečanová, Zdenka; Marinová, Ivica: Generalized homogeneous, prelattice and MV-effect algebras. (English). Kybernetika, vol. 41 (2005), issue 2, pp. [129]-142
• Buhagiar, David; Chetcuti, Emanuel: On complete-cocomplete subspaces of an inner product space. (English). Applications of Mathematics, vol. 50 (2005), issue 2, pp. 103-114
• Pták, Pavel; Weber, Hans: Relatively additive states on quantum logics. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 46 (2005), issue 2, pp. 327-338
• Pulmannová, Sylvia: A spectral theorem for $\sigma$ MV-algebras. (English). Kybernetika, vol. 41 (2005), issue 3, pp. [361]-374
• Cook, Thurlow A.; Foulis, David J.: The base-normed space of a unital group. (English). Mathematica Slovaca, vol. 54 (2004), issue 1, pp. 69-85
• Vetterlein, Thomas: BL-algebras and quantum structures. (English). Mathematica Slovaca, vol. 54 (2004), issue 2, pp. 127-141
• Riečanová, Zdenka: Modular atomic effect algebras and the existence of subadditive states. (English). Kybernetika, vol. 40 (2004), issue 4, pp. [459]-468
• Buhagiar, David; Chetcuti, Emanuel: On isomorphisms of inner product spaces. (English). Mathematica Slovaca, vol. 54 (2004), issue 2, pp. 109-117
• Pták, Pavel; Weber, Hans: Order properties of splitting subspaces in an inner product space. (English). Mathematica Slovaca, vol. 54 (2004), issue 2, pp. 119-126
• Cattaneo, Gianpiero; Dalla Chiara, Maria Luisa; Giuntini, Roberto; Leporini, Roberto: Quantum computational structures. (English). Mathematica Slovaca, vol. 54 (2004), issue 1, pp. 87-108
• Gudder, Stan: Tensor products of sequential effect algebras. (English). Mathematica Slovaca, vol. 54 (2004), issue 1, pp. 1-11
• Foulis, David J.: Compressible groups. (English). Mathematica Slovaca, vol. 53 (2003), issue 5, pp. 433-455
• Pulmannová, Sylvia: Divisible effect algebras and interval effect algebras. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 42 (2001), issue 2, pp. 219-236
• de Simone, A.; Navara, M.; Pták, P.: On interval homogeneous orthomodular lattices. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 42 (2001), issue 1, pp. 23-30
• Hamhalter, Jan: Pure states on Jordan algebras. (English). Mathematica Bohemica, vol. 126 (2001), issue 1, pp. 81-91
• Bugajski, Sławomir: Statistical maps. I: Basic properties. (English). Mathematica Slovaca, vol. 51 (2001), issue 3, pp. 321-342
• Bugajski, Sławomir: Statistical maps. II: Operational random variables and the Bell phenomenon. (English). Mathematica Slovaca, vol. 51 (2001), issue 3, pp. 343-361
• Mayet, R.; Pták, P.: Orthomodular lattices with state-separated noncompatible pairs. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 2, pp. 359-366
• Tkadlec, Josef: Concrete quantum logics with generalised compatibility. (English). Mathematica Bohemica, vol. 123 (1998), issue 2, pp. 213-218
• D'Aniello, Emma: Nonatomic states. (English). Mathematica Slovaca, vol. 48 (1998), issue 4, pp. 337-345
• Wilce, Alexander: Perspectivity and congruence in partial abelian semigroups. (English). Mathematica Slovaca, vol. 48 (1998), issue 2, pp. 117-135
• Gudder, S.; Pulmannová, S.: Representation theorem for convex effect algebras. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 39 (1998), issue 4, pp. 645-659
• Habil, Eissa D.: Morphisms and pasting of orthoalgebras. (English). Mathematica Slovaca, vol. 47 (1997), issue 4, pp. 405-416
• Gudder, Stanley P.; Greechie, Richard: Effect algebra counterexamples. (English). Mathematica Slovaca, vol. 46 (1996), issue 4, pp. 317-325
• Avallone, Anna; Hamhalter, Jan: Extension theorems (vector measures on quantum logics). (English). Czechoslovak Mathematical Journal, vol. 46 (1996), issue 1, pp. 179-192
• Navara, Mirko: Quantum logics representable as kernels of measures. (English). Czechoslovak Mathematical Journal, vol. 46 (1996), issue 4, pp. 587-597
• Dorfer, Gerhard; Dvurečenskij, Anatolij; Länger, Helmut: Symmetric difference in orthomodular lattices. (English). Mathematica Slovaca, vol. 46 (1996), issue 5, pp. 435-444
• Riečan, Beloslav: Upper and lower limits of sequences of observables in D-posets of fuzzy sets. (English). Mathematica Slovaca, vol. 46 (1996), issue 4, pp. 419-431
• Foulis, D.; Pták, P.: On the tensor product of a Boolean algebra and an orthoalgebra. (English). Czechoslovak Mathematical Journal, vol. 45 (1995), issue 1, pp. 117-126
• Tkadlec, Josef: Boolean orthoposets---concreteness and orthocompleteness. (English). Mathematica Bohemica, vol. 119 (1994), issue 2, pp. 123-128
• Kôpka, František; Chovanec, Ferdinand: $D$-posets. (English). Mathematica Slovaca, vol. 44 (1994), issue 1, pp. 21-34
• Pták, Pavel; Pulmannová, Sylvia: A measure-theoretic characterization of Boolean algebras among orthomodular lattices. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 1, pp. 205-208
• Dvurečenskij, Anatolij: Remarks on representation of fuzzy quantum posets. (English). Mathematica Slovaca, vol. 44 (1994), issue 4, pp. 429-440
• Riečan, Beloslav: Representation of observables in quantum mechanical models. (English). Mathematica Slovaca, vol. 44 (1994), issue 2, pp. (123)-129
• Chovanec, Ferdinand: Compatibility problem in quasi-orthocomplemented posets. (English). Mathematica Slovaca, vol. 43 (1993), issue 1, pp. 89-103
• Grath, James H,: Kvantová teorie a operace spojení v teorii svazů. (Czech) [Quantum theory and the lattice join]. Pokroky matematiky, fyziky a astronomie, vol. 37 (1992), issue 6, pp. 311-324
• Palko, Vladimír: Errata to the article ``Topologies on quantum logics induced by measures''. (English). Mathematica Slovaca, vol. 42 (1992), issue 2, pp. 247
• Hamhalter, Jan; Pták, Pavel: Hilbert-space-valued states on quantum logics. (English). Applications of Mathematics, vol. 37 (1992), issue 1, pp. 51-61
• Dubois, Jacques; Hadjou, Brahim: On the Lebesgue decomposition of the normal states of a JBW-algebra. (English). Mathematica Bohemica, vol. 117 (1992), issue 2, pp. 185-193
• Dvurečenskij, Anatolij; Tirpáková, Anna: Sum of observables in fuzzy quantum spaces. (English). Applications of Mathematics, vol. 37 (1992), issue 1, pp. 40-50
• Navara, Mirko; Tkadlec, Josef: Automorphisms of concrete logics. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 32 (1991), issue 1, pp. 15-25
• Riečanová, Zdenka; Pulmannová, Sylvia: Logics with separating sets of measures. (English). Mathematica Slovaca, vol. 41 (1991), issue 2, pp. 167-177
• Rogalewicz, Vladimír: On generating and concreteness in quantum logics. (English). Mathematica Slovaca, vol. 41 (1991), issue 4, pp. 431-435
• D'Andrea, Anna Bruna; de Lucia, Paolo: On the Lebesgue decomposition of a function relative to a $p$-ideal of an orthomodular lattice. (English). Mathematica Slovaca, vol. 41 (1991), issue 4, pp. 423-430
• Hedlíková, Jarmila; Pulmannová, Sylvia: Orthogonality spaces and atomistic orthocomplemented lattices. (English). Czechoslovak Mathematical Journal, vol. 41 (1991), issue 1, pp. 8-23
• Riečan, Beloslav: On mean value in $F$-quantum spaces. (English). Aplikace matematiky, vol. 35 (1990), issue 3, pp. 209-214
• Hamhalter, Jan: Orthogonal vector measures on projection lattices in a Hilbert space. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 31 (1990), issue 4, pp. 655-660
• Binder, Jiří; Pták, Pavel: A representation of orthomodular lattices. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 31 (1990), issue 1, pp. 21-26
• Navara, Mirko: Integration on generalized measure spaces. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 30 (1989), issue 2, pp. 121-124
• Riečanová, Zdenka: Topologies in atomic quantum logics. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 30 (1989), issue 2, pp. 143-148
• Palko, Vladimír: Topologies on quantum logics induced by measures. (English). Mathematica Slovaca, vol. 39 (1989), issue 2, pp. 175-189
• Rogalewicz, Vladimír: Any orthomodular poset is a pasting of Boolean algebras. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 29 (1988), issue 3, pp. 557-558
• Czkwianianc, Ewa: Joint distributions and compatibility of observables in quantum logics. (English). Mathematica Slovaca, vol. 38 (1988), issue 4, pp. 361-366
• Pták, Pavel: “Hidden variables” on concrete logics (extensions). (English). Commentationes Mathematicae Universitatis Carolinae, vol. 28 (1987), issue 1, pp. 157-163
• Chrapčiaková, Nadežda: On a summability of observables in generalized measurable spaces. (English). Mathematica Slovaca, vol. 37 (1987), issue 2, pp. 191-194
• Dvurečenskij, Anatolij: On joint distribution in quantum logics. I. Compatible observables. (English). Aplikace matematiky, vol. 32 (1987), issue 6, pp. 427-435
• Dvurečenskij, Anatolij: On joint distribution in quantum logics. II. Noncompatible observables. (English). Aplikace matematiky, vol. 32 (1987), issue 6, pp. 436-450
• Nánásiová, Oľga: Ordering of observables and characterization of conditional expectation. (English). Mathematica Slovaca, vol. 37 (1987), issue 4, pp. 323-340
• Dvurečenskij, Anatolij: On two problems of quantum logics. (English). Mathematica Slovaca, vol. 36 (1986), issue 3, pp. 253-265
• Navara, Mirko: Two-valued states on a concrete logic and the additivity problem. (English). Mathematica Slovaca, vol. 34 (1984), issue 3, pp. 329-336
• Pulmannová, Sylvia: Axiomatizácia fyzikálnych systémov a „kvantové logiky‟. (Slovak) [Axiomatization of physical systems and “quantum logic”]. Pokroky matematiky, fyziky a astronomie, vol. 28 (1983), issue 5, pp. 247-258
• Pták, Pavel: On centers and state spaces of logics. (English). In: Frolík, Zdeněk (ed.): Proceedings of the 11th Winter School on Abstract Analysis. Circolo Matematico di Palermo, Palermo, 1984. pp. [225]-229
• Pulmannová, Sylvia: On representations of logics. (English). Mathematica Slovaca, vol. 33 (1983), issue 4, pp. 357-362
• Pulmannová, Sylvia: Individual ergodic theorem on a logic. (English). Mathematica Slovaca, vol. 32 (1982), issue 4, pp. 413-416
• Dvurečenskij, Anatolij; Pulmannová, Sylvia: On joint distributions of observables. (English). Mathematica Slovaca, vol. 32 (1982), issue 2, pp. 155-166
• Vrábel, Peter: The measure extension theorem for subadditive measures in $\sigma $-continuous logics. (English). Mathematica Slovaca, vol. 31 (1981), issue 2, pp. 141-147
• Pulmannová, Sylvia: A note on the extensibility of states. (English). Mathematica Slovaca, vol. 31 (1981), issue 2, pp. 177-181
• Dvurečenskij, Anatolij: On $m$-joint distribution. (English). Mathematica Slovaca, vol. 31 (1981), issue 4, pp. 347-353
• Dvurečenskij, Anatolij: On extension properties for observables. (English). Mathematica Slovaca, vol. 31 (1981), issue 2, pp. 149-153
• Dvurečenskij, Anatolij; Riečan, Beloslav: On the individual ergodic theorem on a logic. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 21 (1980), issue 2, pp. 385-391
• Dvurečenskij, Anatolij; Pulmannová, Sylvia: On the sum of observables in a logic. (English). Mathematica Slovaca, vol. 30 (1980), issue 4, pp. 393-399
• Pulmannová, Sylvia: Semiobservables on quantum logics. (English). Mathematica Slovaca, vol. 30 (1980), issue 4, pp. 419-432
• Hofmann, Gerald: On the existence problem in the algebraic approach to quantum field theory. (English). In: Frolík, Z. (ed.): Abstracta. 7th Winter School on Abstract Analysis. Czechoslovak Academy of Sciences, Praha, 1979. pp. 28-32
• Bek, Roman: Discourse on one way in which a quantum-mechanics language on the classical logical base can be built up. (English). Kybernetika, vol. 14 (1978), issue 2, pp. (85)-101
• Blank, J.; Exner, P.: Remarks on tensor proucts and their applications in quantum theory - II. Spectral properties. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 18 (1977), issue 1, pp. 3-35
• Blank, J.; Exner, P.: Remarks on tensor products and their applications in quantum theory I. General considerations. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 17 (1976), issue 2, pp. 75-98