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06C15 Complemented lattices, orthocomplemented lattices and posets (121 articles)

• Chajda, Ivan; Kolařík, Miroslav; Länger, Helmut: c-ideals in complemented posets. (English). Mathematica Bohemica, vol. 149 (2024), issue 3, pp. 305-316
• Ebrahimi Atani, Shahabaddin: $G$-supplemented property in the lattices. (English). Mathematica Bohemica, vol. 147 (2022), issue 4, pp. 525-545
• Chajda, Ivan; Länger, Helmut: Orthogonality and complementation in the lattice of subspaces of a finite vector space. (English). Mathematica Bohemica, vol. 147 (2022), issue 2, pp. 141-153
• Chajda, Ivan; Länger, Helmut: Orthomodular lattices that are horizontal sums of Boolean algebras. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 61 (2020), issue 1, pp. 11-20
• Chajda, Ivan; Länger, Helmut: States on basic algebras. (English). Mathematica Bohemica, vol. 142 (2017), issue 2, pp. 197-210
• Chajda, Ivan; Länger, Helmut: Orthomodular Posets Can Be Organized as Conditionally Residuated Structures. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 53 (2014), issue 2, pp. 29-33
• Chajda, Ivan: The Role of Halaš Identity in Orthomodular Lattices. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 53 (2014), issue 1, pp. 19-24
• Barbieri, Giuseppina; Valente, Antonietta; Weber, Hans: Decomposition of $\ell $-group-valued measures. (English). Czechoslovak Mathematical Journal, vol. 62 (2012), issue 4, pp. 1085-1100
• 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
• Matoušek, Milan; Pták, Pavel: Orthocomplemented difference lattices with few generators. (English). Kybernetika, vol. 47 (2011), issue 1, pp. 60-73
• Vitolo, Paolo: Compatibility and central elements in pseudo-effect algebras. (English). Kybernetika, vol. 46 (2010), issue 6, pp. 996-1008
• Chajda, Ivan; Kolařík, Miroslav; Švrček, Filip: Implication and equivalential reducts of basic algebras. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 49 (2010), issue 2, pp. 21-36
• Dorfer, Gerhard; Dorninger, Dietmar; Länger, Helmut: On the structure of numerical event spaces. (English). Kybernetika, vol. 46 (2010), issue 6, pp. 971-981
• Chajda, Ivan; Kolařík, Miroslav: Basic pseudorings. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 48 (2009), issue 1, pp. 25-31
• Pulmannová, Silvia; Vinceková, Elena: Congruences and ideals in lattice effect algebras as basic algebras. (English). Kybernetika, vol. 45 (2009), issue 6, pp. 1030-1039
• Barbieri, Giuseppina: An extension theorem for modular measures on effect algebras. (English). Czechoslovak Mathematical Journal, vol. 59 (2009), issue 3, pp. 707-719
• Chajda, Ivan: The axioms for implication in orthologic. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 1, pp. 15-21
• Chajda, Ivan: Pseudocomplemented directoids. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 49 (2008), issue 4, pp. 533-539
• 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
• Halaš, Radomír; Plojhar, Luboš: On systems of congruences on principal filters of orthomodular implication algebras. (English). Mathematica Bohemica, vol. 132 (2007), issue 4, pp. 423-435
• Chajda, Ivan: Ring-like structures derived from $\lambda $-lattices with antitone involutions. (English). Mathematica Bohemica, vol. 132 (2007), issue 1, pp. 87-96
• Avallone, Anna: Separating points of measures on effect algebras. (English). Mathematica Slovaca, vol. 57 (2007), issue 2, pp. [129]-140
• Grätzer, G.; Lakser, Harry: Freely adjoining a complement to a lattice. (English). Mathematica Slovaca, vol. 56 (2006), issue 1, pp. 93-104
• Kwuida, Léonard; Pech, Christian; Reppe, Heiko: Generalizations of Boolean algebras. An attribute exploration. (English). Mathematica Slovaca, vol. 56 (2006), issue 2, pp. 145-165
• Joshi, Vinayak V.; Waphare, B. N.: Characterizations of 0-distributive posets. (English). Mathematica Bohemica, vol. 130 (2005), issue 1, pp. 73-80
• Chajda, Ivan: A groupoid characterization of orthomodular lattices. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 44 (2005), issue 1, pp. 13-18
• Chajda, Ivan: Sheffer operation in ortholattices. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 44 (2005), issue 1, pp. 19-23
• Radeleczki, S.; Schweigert, D.: Lattices with complemented tolerance lattice. (English). Czechoslovak Mathematical Journal, vol. 54 (2004), issue 2, pp. 407-412
• Buhagiar, David; Chetcuti, Emanuel: On isomorphisms of inner product spaces. (English). Mathematica Slovaca, vol. 54 (2004), issue 2, pp. 109-117
• De Simone, Anna; Navara, Mirko: On the permanence properties of interval homogeneous orthomodular lattices. (English). Mathematica Slovaca, vol. 54 (2004), issue 1, pp. 13-21
• 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
• Chajda, Ivan; Länger, Helmut; Mączyński, Maciej: Ring-like structures corresponding to generalized orthomodular lattices. (English). Mathematica Slovaca, vol. 54 (2004), issue 2, pp. 143-150
• Pulmannová, Sylvia: Blocks in homogeneous effect algebras and MV-algebras. (English). Mathematica Slovaca, vol. 53 (2003), issue 5, pp. 525-539
• de Simone, A.; Mundici, D.; Navara, M.: A Cantor-Bernstein theorem for $\sigma$-complete MV-algebras. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 2, pp. 437-447
• Foulis, David J.: Compressible groups. (English). Mathematica Slovaca, vol. 53 (2003), issue 5, pp. 433-455
• Chajda, Ivan: Lattices and semilattices having an antitone involution in every upper interval. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 44 (2003), issue 4, pp. 577-585
• Avallone, Anna; Barbieri, Giuseppina: Lyapunov measures on effect algebras. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 44 (2003), issue 3, pp. 389-397
• Weber, Hans: Two extension theorems. Modular functions on complemented lattices. (English). Czechoslovak Mathematical Journal, vol. 52 (2002), issue 1, pp. 55-74
• Walendziak, Andrzej: Weak congruences of an algebra with the CEP and the WCIP. (English). Czechoslovak Mathematical Journal, vol. 52 (2002), issue 1, pp. 117-127
• Avallone, Anna: Lattice uniformities on orthomodular structures. (English). Mathematica Slovaca, vol. 51 (2001), issue 4, pp. 403-419
• 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
• Chajda, Ivan: A note on congruence kernels in ortholattices. (English). Mathematica Bohemica, vol. 125 (2000), issue 2, pp. 169-172
• Mayet, R.; Pták, P.: Orthomodular lattices with state-separated noncompatible pairs. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 2, pp. 359-366
• Darnel, Michael R.: $\sigma$-interpolation lattice-ordered groups. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 1, pp. 1-2
• Avallone, Anna; Barbieri, Giuseppina; Cilia, Raffaella: Control and separating points of modular functions. (English). Mathematica Slovaca, vol. 49 (1999), issue 2, pp. 155-182
• Katrnoška, František: On the center of a left Jordan groupoid. (English). Mathematica Slovaca, vol. 49 (1999), issue 1, pp. 35-39
• Zhu, Zuo-Tong,; Zhenyu, Huang: The structure of transitive ordered permutation groups. (English). Czechoslovak Mathematical Journal, vol. 49 (1999), issue 4, pp. 811-815
• 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
• Habil, Eissa D.: The Brooks-Jewett theorem for $k$-triangular functions on difference posets and orthoalgebras. (English). Mathematica Slovaca, vol. 47 (1997), issue 4, pp. 417-428
• Habil, Eissa D.: Morphisms and pasting of orthoalgebras. (English). Mathematica Slovaca, vol. 47 (1997), issue 4, pp. 405-416
• Morávková, Zuzana: A note on relative complements in lattices. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 36 (1997), issue 1, pp. 163-166
• Jakubík, Ján: Unions of uniquely complemented lattices. (English). Mathematica Bohemica, vol. 122 (1997), issue 2, pp. 147-152
• Zapatrin, Roman R.: A characterization of polarities whose polar lattice is orthomodular. (English). Czechoslovak Mathematical Journal, vol. 46 (1996), issue 4, pp. 625-627
• Chajda, Ivan: Pseudosemirings induced by ortholattices. (English). Czechoslovak Mathematical Journal, vol. 46 (1996), issue 3, pp. 405-411
• 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
• Slatinský, Emil: Die Operationen in der Klasse komplementärer Verbände. (German) [The operations in the class of complemented lattices]. Mathematica Slovaca, vol. 44 (1994), issue 1, pp. 35-38
• 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
• d'Andrea, A. B.; de Lucia, P.; Wright, J. D. Maitland: On Kalmbach measurability. (English). Applications of Mathematics, vol. 39 (1994), issue 6, pp. 445-447
• Chovanec, Ferdinand: Compatibility problem in quasi-orthocomplemented posets. (English). Mathematica Slovaca, vol. 43 (1993), issue 1, pp. 89-103
• Navara, Mirko: Announcements of new results. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 3, pp. 571
• Navara, Mirko: Descriptions of state spaces of orthomodular lattices (the hypergraph approach). (English). Mathematica Bohemica, vol. 117 (1992), issue 3, pp. 305-313
• Hamhalter, Jan; Pták, Pavel: Hilbert-space-valued states on quantum logics. (English). Applications of Mathematics, vol. 37 (1992), issue 1, pp. 51-61
• Long, Le Ba: A new approach to representation of observables on fuzzy quantum posets. (English). Applications of Mathematics, vol. 37 (1992), issue 5, pp. 357-368
• 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
• Matoušek, Milan: Orthomodular lattices with fully nontrivial commutators. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 1, pp. 25-32
• 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
• 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
• Binder, Jiří; Pták, Pavel: A representation of orthomodular lattices. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 31 (1990), issue 1, pp. 21-26
• Tkadlec, Josef: A note on a function representation of orthomodular posets. (English). Mathematica Slovaca, vol. 39 (1989), issue 1, pp. 27-29
• Havrda, Jan: On a certain mapping on the set with orthogonality. (English). Časopis pro pěstování matematiky, vol. 114 (1989), issue 2, pp. 160-164
• 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
• Rogalewicz, Vladimír: Any orthomodular poset is a pasting of Boolean algebras. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 29 (1988), issue 3, pp. 557-558
• Chevalier, Georges: Semiprime ideals in orthomodular lattices. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 29 (1988), issue 2, pp. 379-386
• Beran, Ladislav: Distributivity in finitely generated orthomodular lattices. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 28 (1987), issue 3, pp. 433-435
• Pták, Pavel: “Hidden variables” on concrete logics (extensions). (English). Commentationes Mathematicae Universitatis Carolinae, vol. 28 (1987), issue 1, pp. 157-163
• Nánásiová, Oľga: Ordering of observables and characterization of conditional expectation. (English). Mathematica Slovaca, vol. 37 (1987), issue 4, pp. 323-340
• Havrda, Jan: Projection and covering in a set with orthogonality. (English). Časopis pro pěstování matematiky, vol. 112 (1987), issue 3, pp. 245-248
• Havrda, Jan: A study of independence in a set with orthogonality. (English). Časopis pro pěstování matematiky, vol. 112 (1987), issue 3, pp. 249-256
• Šimon, J.: Opérations dérivées des treillis orthomodulaires (Part 3). (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 27 (1986), issue 2, pp. 11-17
• Janowitz, Melvin F.: Tolerances and congruences on lattices. (English). Czechoslovak Mathematical Journal, vol. 36 (1986), issue 1, pp. 108-115
• Pták, Pavel: Categories of orthomodular posets. (English). Mathematica Slovaca, vol. 35 (1985), issue 1, pp. 59-65
• Pták, Pavel; Wright, John D. Maitland: On the concreteness of quantum logics. (English). Aplikace matematiky, vol. 30 (1985), issue 4, pp. 274-285
• Nánásiová, Oľga; Pulmannová, Sylvia: Relative conditional expectations on a logic. (English). Aplikace matematiky, vol. 30 (1985), issue 5, pp. 332-350
• Beran, Ladislav: Special polynomials in orthomodular lattices. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 26 (1985), issue 4, pp. 641-650
• Rogalewicz, Vladimír: Remarks about measures on orthomodular posets. (English). Časopis pro pěstování matematiky, vol. 109 (1984), issue 1, pp. 93-99
• Pták, Pavel: Spaces of observables. (English). Czechoslovak Mathematical Journal, vol. 34 (1984), issue 4, pp. 552-561
• 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: 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
• Beran, L.: Boolean and orthomodular lattices - a short characterization via commutativity. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 23 (1982), issue 1, pp. 25-27
• Kopeček, Ivan: Distinguishing subsets in lattices. (English). Archivum Mathematicum, vol. 18 (1982), issue 3, pp. 145-149
• Havrda, Jan: Independence in a set with orthogonality. (English). Časopis pro pěstování matematiky, vol. 107 (1982), issue 3, pp. 267-272
• Pulmannová, Sylvia: Individual ergodic theorem on a logic. (English). Mathematica Slovaca, vol. 32 (1982), issue 4, pp. 413-416
• Šimon, J.: Opérations dérivées des treillis orthomodulaires (Part 2). (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 23 (1982), issue 1, pp. 29-36
• Šimon, J.: Opérations dérivées des treillis orthomodulaire (Part 1). (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 22 (1981), issue 2, pp. 7-14
• Pelant, Jan; Reiterman, Jan: Complements in the lattice of uniformities. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 22 (1981), issue 2, pp. 399-412
• Havrda, Jan: Gram-Schmidt's orthogonalization based on the concept of generalized orthogonality. (English). Časopis pro pěstování matematiky, vol. 106 (1981), issue 4, pp. 335-346
• Pulmannová, Sylvia: A note on the extensibility of states. (English). Mathematica Slovaca, vol. 31 (1981), issue 2, pp. 177-181
• Niederle, Josef: Tolerance extensions in distributive lattices. (English). Archivum Mathematicum, vol. 16 (1980), issue 2, pp. 99-103
• Rozenský, Zdeněk: Ein Beitrag zur Theorie der Orthogonalität auf Mengen. (German) [A contribution to the theory of orthogonality on sets]. Časopis pro pěstování matematiky, vol. 104 (1979), issue 3, pp. 255-266
• 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
• Dvurečenskij, Anatolij: On some properties of transformations of a logic. (English). Mathematica Slovaca, vol. 26 (1976), issue 2, pp. 131-137
• Růžička, Jiří: Polars on partially ordered groups. (English). Archivum Mathematicum, vol. 12 (1976), issue 1, pp. 53-62
• Havrda, Jan: Ortogonalita na množinách. (Czech) [Orthogonality on sets]. Časopis pro pěstování matematiky, vol. 100 (1975), issue 4, pp. 339-354
• Jakubík, Ján: Center of a bounded lattice. (English). Matematický časopis, vol. 25 (1975), issue 4, pp. 339-343
• Niederle, Josef: Injektive Objekte in gewissen Kategorien der Verbände. (German) [Injective objects in a certain category of lattices]. Archivum Mathematicum, vol. 10 (1974), issue 1, pp. 63-65
• Lamper, Milan: Complements in the lattice of all topologies of topological groups. (English). Archivum Mathematicum, vol. 10 (1974), issue 4, pp. 221-230
• Beran, Ladislav: Modularity in generalized orthomodular lattices. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 15 (1974), issue 1, pp. 189-193
• Cornish, William H.: Quasicomplemented lattices. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 15 (1974), issue 3, pp. 501-511
• Katriňák, T.; Neubrunn, T.: On Certain Generalized Probability Domains. (English). Matematický časopis, vol. 23 (1973), issue 3, pp. 209-215
• Györffy, Ladislav; Riečan, Beloslav: On the Extension of Measures in Relatively Complemented Lattices. (English). Matematický časopis, vol. 23 (1973), issue 2, pp. 158-163
• Beran, L.: An approach to solvability in orthomodular lattices. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 13 (1972), issue 2, pp. 41-42
• Zervos, S. P.: Lattices and topology. (English). In: Novák, J. (ed.): General Topology and its Relations to Modern Analysis and Algebra. Proceedings of the Third Prague Topological Symposium, 1971. Academia Publishing House of the Czechoslovak Academy of Sciences, Praha, 1972. pp. 475-484