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03G12 Quantum logic (107 articles)

• 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
• Matoušek, Milan; Pták, Pavel: Orthocomplemented difference lattices with few generators. (English). Kybernetika, vol. 47 (2011), issue 1, pp. 60-73
• Paseka, Jan; Riečanová, Zdenka; Wu, Junde: Almost orthogonality and Hausdorff interval topologies of atomic lattice effect algebras. (English). Kybernetika, vol. 46 (2010), issue 6, pp. 953-970
• Vitolo, Paolo: Compatibility and central elements in pseudo-effect algebras. (English). Kybernetika, vol. 46 (2010), issue 6, pp. 996-1008
• Olejček, Vladimír: Every uniformly Archimedean atomic MV-effect algebra is sharply dominating. (English). Kybernetika, vol. 46 (2010), issue 6, pp. 948-952
• Kalina, Martin: Mac Neille completion of centers and centers of Mac Neille completions of lattice effect algebras. (English). Kybernetika, vol. 46 (2010), issue 6, pp. 935-947
• Kalina, Martin: On central atoms of Archimedean atomic lattice effect algebras. (English). Kybernetika, vol. 46 (2010), issue 4, pp. 609-620
• Dorfer, Gerhard; Dorninger, Dietmar; Länger, Helmut: On the structure of numerical event spaces. (English). Kybernetika, vol. 46 (2010), issue 6, pp. 971-981
• Drobná, Eva; Nánásiová, Oĺga; Valášková, Ĺubica: Quantum logics and bivariable functions. (English). Kybernetika, vol. 46 (2010), issue 6, pp. 982-995
• 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
• Chajda, Ivan: The axioms for implication in orthologic. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 1, pp. 15-21
• 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
• 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
• Riečan, Beloslav: On some contributions to quantum structures by fuzzy sets. (English). Kybernetika, vol. 43 (2007), issue 4, pp. 481-490
• 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
• Dvurečenskij, Anatolij: Holland’s theorem for pseudo-effect algebras. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 1, pp. 47-59
• 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
• Di Nola, Antonio; Dvurečenskij, Anatolij; Hyčko, Marek; Manara, Corrado: Entropy on effect algebras with Riesz decomposition property II: MV-algebras. (English). Kybernetika, vol. 41 (2005), issue 2, pp. [161]-176
• Di Nola, Antonio; Dvurečenskij, Anatolij; Hyčko, Marek; Manara, Corrado: Entropy on effect algebras with the Riesz decomposition property I: Basic properties. (English). Kybernetika, vol. 41 (2005), issue 2, pp. [143]-160
• 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
• Vetterlein, Thomas: BL-algebras and quantum structures. (English). Mathematica Slovaca, vol. 54 (2004), issue 2, pp. 127-141
• Dvurečenskij, Anatolij: Lorenzen's theorem for pseudo-effect algebras. (English). Mathematica Slovaca, vol. 54 (2004), issue 1, pp. 23-42
• Riečanová, Zdenka: Modular atomic effect algebras and the existence of subadditive states. (English). Kybernetika, vol. 40 (2004), issue 4, pp. [459]-468
• Nola, Antonio Di; Dvurečenskij, Anatolij: $MV$-test spaces versus $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 54 (2004), issue 1, pp. 189-203
• Buhagiar, David; Chetcuti, Emanuel: On isomorphisms of inner product spaces. (English). Mathematica Slovaca, vol. 54 (2004), issue 2, pp. 109-117
• Jurečková, Mária; Chovanec, Ferdinand: On some properties of submeasures on MV-algebras. (English). Mathematica Slovaca, vol. 54 (2004), issue 2, pp. 161-167
• 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
• Dvurečenskij, Anatolij: States on pseudo-effect algebras with general comparability. (English). Kybernetika, vol. 40 (2004), issue 4, pp. [397]-420
• Gudder, Stan: Tensor products of sequential effect algebras. (English). Mathematica Slovaca, vol. 54 (2004), issue 1, pp. 1-11
• Pulmannová, Sylvia: Blocks in homogeneous effect algebras and MV-algebras. (English). Mathematica Slovaca, vol. 53 (2003), issue 5, pp. 525-539
• 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
• Salvati, Simonetta: The Brooks-Jewett theorem for $k$-triangular functions. (English). Mathematica Slovaca, vol. 50 (2000), issue 3, pp. 247-257
• Tkadlec, Josef: Concrete quantum logics with generalised compatibility. (English). Mathematica Bohemica, vol. 123 (1998), issue 2, pp. 213-218
• Navara, Mirko; Pták, Pavel: Considering uncertainty and dependence in Boolean, quantum and fuzzy logics. (English). Kybernetika, vol. 34 (1998), issue 1, pp. [121]-134
• 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
• Palko, Vladimír: Topological difference posets. (English). Mathematica Slovaca, vol. 47 (1997), issue 3, pp. 211-220
• 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
• Länger, Helmut; Mączyński, Maciej: On a characterization of probability measures on Boolean algebras and some orthomodular lattices. (English). Mathematica Slovaca, vol. 45 (1995), issue 5, pp. 455-468
• 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
• 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
• Navara, Mirko: Descriptions of state spaces of orthomodular lattices (the hypergraph approach). (English). Mathematica Bohemica, vol. 117 (1992), issue 3, pp. 305-313
• 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
• 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
• Pulmannová, Sylvia; Rogalewicz, Vladimír: Orthomodular lattices with almost orthogonal sets of atoms. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 32 (1991), issue 3, pp. 423-429
• Markechová, Dagmar: The entropy on $F$-quantum spaces. (English). Mathematica Slovaca, vol. 40 (1990), issue 2, pp. 177-190
• Riečan, Beloslav: On mean value in $F$-quantum spaces. (English). Aplikace matematiky, vol. 35 (1990), issue 3, pp. 209-214
• 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
• Tkadlec, Josef: A note on a function representation of orthomodular posets. (English). Mathematica Slovaca, vol. 39 (1989), issue 1, pp. 27-29
• Binder, Jiří: A note on weak hidden variables. (English). Časopis pro pěstování matematiky, vol. 114 (1989), issue 1, pp. 53-56
• Rogalewicz, Vladimír: A remark on $\lambda$-regular orthomodular lattices. (English). Aplikace matematiky, vol. 34 (1989), issue 6, pp. 449-452
• 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
• Binder, Jiří: A Loomis-Sikorski theorem for logics. (English). Mathematica Slovaca, vol. 38 (1988), issue 4, pp. 367-371
• Alda, Václav: Boolean embeddings and hidden variables. (English). Časopis pro pěstování matematiky, vol. 112 (1987), issue 3, pp. 284-295
• Pták, Pavel: “Hidden variables” on concrete logics (extensions). (English). Commentationes Mathematicae Universitatis Carolinae, vol. 28 (1987), issue 1, pp. 157-163
• Bán, Ján: Martingale convergence theorem in quantum logics. (English). Mathematica Slovaca, vol. 37 (1987), issue 4, pp. 313-322
• 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
• Navara, Mirko: State space properties of finite logics. (English). Czechoslovak Mathematical Journal, vol. 37 (1987), issue 2, pp. 188-196
• Dvurečenskij, Anatolij: On two problems of quantum logics. (English). Mathematica Slovaca, vol. 36 (1986), issue 3, pp. 253-265
• Pták, Pavel; Wright, John D. Maitland: On the concreteness of quantum logics. (English). Aplikace matematiky, vol. 30 (1985), issue 4, pp. 274-285
• Palko, Vladimír: On the convergence and absolute continuity of signed states on a logic. (English). Mathematica Slovaca, vol. 35 (1985), issue 3, pp. 267-275
• Nánásiová, Oľga; Pulmannová, Sylvia: Relative conditional expectations on a logic. (English). Aplikace matematiky, vol. 30 (1985), issue 5, pp. 332-350
• 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: On the products of quantum logics. (English). In: Frolík, Zdeněk (ed.): Proceedings of the 11th Winter School on Abstract Analysis. Circolo Matematico di Palermo, Palermo, 1984. pp. [231]-235
• 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
• Alda, Václav: On $0-1$ measure for projectors. (English). Aplikace matematiky, vol. 25 (1980), issue 5, pp. 373-374
• Dvurečenskij, Anatolij: On a sum of observables in a logic. (English). Mathematica Slovaca, vol. 30 (1980), issue 2, pp. 187-196
• 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
• Dvurečenskij, Anatolij: Laws of large numbers and the central limit theorems on a logic. (English). Mathematica Slovaca, vol. 29 (1979), issue 4, pp. 397-410
• Riečan, Beloslav: The measure extension theorem for subadditive probability measures in orthomodular $\sigma$-continuous lattices. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 20 (1979), issue 2, pp. 309-316