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03G25 Other algebras related to logic (73 articles)

• Chajda, Ivan; Länger, Helmut: Residuation in twist products and pseudo-Kleene posets. (English). Mathematica Bohemica, vol. 147 (2022), issue 3, pp. 369-383
• Najafi, Ardavan; Borumand Saeid, Arsham: Engel BCI-algebras: an application of left and right commutators. (English). Mathematica Bohemica, vol. 146 (2021), issue 2, pp. 133-150
• Aaly Kologani, Mona; Borzooei, Rajab Ali: On ideal theory of hoops. (English). Mathematica Bohemica, vol. 145 (2020), issue 2, pp. 141-162
• Holdon, Liviu-Constantin: On ideals in De Morgan residuated lattices. (English). Kybernetika, vol. 54 (2018), issue 3, pp. 443-475
• Gaitán, Hernando: Duality for Hilbert algebras with supremum: An application. (English). Mathematica Bohemica, vol. 142 (2017), issue 3, pp. 263-276
• Chajda, Ivan; Länger, Helmut: States on basic algebras. (English). Mathematica Bohemica, vol. 142 (2017), issue 2, pp. 197-210
• Chajda, Ivan; Länger, Helmut: An ordered structure of pseudo-BCI-algebras. (English). Mathematica Bohemica, vol. 141 (2016), issue 1, pp. 91-98
• 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
• Cīrulis, Jānis: Adjoint Semilattice and Minimal Brouwerian Extensions of a Hilbert Algebra. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 51 (2012), issue 2, pp. 41-51
• Rachůnek, Jiří; Svoboda, Zdeněk: Monotone modal operators on bounded integral residuated lattices. (English). Mathematica Bohemica, vol. 137 (2012), issue 3, pp. 333-345
• 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
• Rachůnek, Jiří; Šalounová, Dana: Classes of fuzzy filters of residuated lattice ordered monoids. (English). Mathematica Bohemica, vol. 135 (2010), issue 1, pp. 81-97
• 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
• Drobná, Eva; Nánásiová, Oĺga; Valášková, Ĺubica: Quantum logics and bivariable functions. (English). Kybernetika, vol. 46 (2010), issue 6, pp. 982-995
• Chajda, Ivan; Kolařík, Miroslav: Basic pseudorings. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 48 (2009), issue 1, pp. 25-31
• Rachůnek, Jiří; Šalounová, Dana: Classes of filters in generalizations of commutative fuzzy structures. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 48 (2009), issue 1, pp. 93-107
• Eslami, Esfandiar; Haghani, Farhad Kh.: Pure filters and stable topology on BL-algebras. (English). Kybernetika, vol. 45 (2009), issue 3, pp. 491-506
• Chajda, Ivan: The axioms for implication in orthologic. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 1, pp. 15-21
• Jakubík, Ján: Direct product decompositions of bounded commutative residuated $\ell$-monoids. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 4, pp. 1129-1143
• 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
• Kühr, Jan: Generalizations of pseudo MV-algebras and generalized pseudo effect algebras. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 2, pp. 395-415
• Švrček, Filip: Interior and closure operators on bounded residuated lattice ordered monoids. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 2, pp. 345-357
• Chajda, Ivan; Kolařík, Miroslav: Monadic basic algebras. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 47 (2008), issue 1, pp. 27-36
• Chajda, I.; Kolařík, M.: Directoids with sectionally antitone involutions and skew MV-algebras. (English). Mathematica Bohemica, vol. 132 (2007), issue 4, pp. 407-422
• Jakubík, Ján: Isometries of generalized $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 57 (2007), issue 1, pp. 161-171
• Chajda, Ivan; Kühr, Jan: A non-associative generalization of MV-algebras. (English). Mathematica Slovaca, vol. 57 (2007), issue 4, pp. [301]-312
• Jakubík, Ján: On idempotent modifications of $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 57 (2007), issue 1, pp. 243-252
• 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
• Kühr, J.; Rachůnek, J.: Weak Boolean products of bounded dually residuated $l$-monoids. (English). Mathematica Bohemica, vol. 132 (2007), issue 3, pp. 225-236
• Dvurečenskij, Anatolij; Hyčko, Marek: Algebras on subintervals of BL-algebras, pseudo BL-algebras and bounded residuated $\ell $-monoids. (English). Mathematica Slovaca, vol. 56 (2006), issue 2, pp. 125-144
• Riečanová, Zdenka: Archimedean atomic lattice effect algebras in which all sharp elements are central. (English). Kybernetika, vol. 42 (2006), issue 2, pp. 143-150
• Rachůnek, Jiří; Slezák, Vladimír: Bounded dually residuated lattice ordered monoids as a generalization of fuzzy structures. (English). Mathematica Slovaca, vol. 56 (2006), issue 2, pp. 223-233
• Chajda, Ivan: Directoids with sectionally switching involutions. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 45 (2006), issue 1, pp. 35-41
• Kühr, Jan: Dually residuated $\ell$-monoids having no non-trivial convex subalgebras. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 45 (2006), issue 1, pp. 103-108
• Kühr, Jan: Finite-valued dually residuated lattice-ordered monoids. (English). Mathematica Slovaca, vol. 56 (2006), issue 4, pp. 397-408
• Kwuida, Léonard; Pech, Christian; Reppe, Heiko: Generalizations of Boolean algebras. An attribute exploration. (English). Mathematica Slovaca, vol. 56 (2006), issue 2, pp. 145-165
• Chajda, Ivan; Kühr, Jan: GMV-algebras and meet-semilattices with sectionally antitone permutations. (English). Mathematica Slovaca, vol. 56 (2006), issue 3, pp. 275-288
• Lianzhen, Liu; Kaitai, Li: $R_0$-algebras and weak dually residuated lattice ordered semigroups. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 2, pp. 339-348
• Riečanová, Zdenka; Marinová, Ivica: Generalized homogeneous, prelattice and MV-effect algebras. (English). Kybernetika, vol. 41 (2005), issue 2, pp. [129]-142
• Zahedi, M. M.; Saeid, A. Borumand; Borzooei, R. A.: Implicative hyper $K$-algebras. (English). Czechoslovak Mathematical Journal, vol. 55 (2005), issue 2, pp. 439-453
• Celani, Sergio A.: Deductive systems of BCK-algebras. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 43 (2004), issue 1, pp. 27-32
• Rachůnek, Jiří; Šalounová, Dana: Lexicographic extensions of dually residuated lattice ordered monoids. (English). Mathematica Bohemica, vol. 129 (2004), issue 3, pp. 283-295
• Kühr, Jan: Remarks on ideals in lower-bounded dually residuated lattice-ordered monoids. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 43 (2004), issue 1, pp. 105-112
• Kühr, Jan: Spectral topologies of dually residuated lattice-ordered monoids. (English). Mathematica Bohemica, vol. 129 (2004), issue 4, pp. 379-391
• Halaš, Radomír: Annihilators in BCK-algebras. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 4, pp. 1001-1007
• Bělohlávek, Radim: Boolean part of BL-algebras. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 42 (2003), issue 1, pp. 7-11
• Šalounová, Dana: Lex-ideals of DR$\ell $-monoids and GMV-algebras. (English). Mathematica Slovaca, vol. 53 (2003), issue 4, pp. 321-330
• Kühr, Jan: Pseudo $BL$-algebras and $DR\ell $-monoids. (English). Mathematica Bohemica, vol. 128 (2003), issue 2, pp. 199-208
• Gaitán, Hernando: Subdirectly irreducible MV-algebras. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 3, pp. 631-639
• Chajda, Ivan; Halaš, Radomír: Algebraic properties of pre-logics. (English). Mathematica Slovaca, vol. 52 (2002), issue 2, pp. 157-175
• Chajda, I.; Halaš, R.; Jun, Y. B.: Annihilators and deductive systems in commutative Hilbert algebras. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 3, pp. 407-417
• Jun, Young Bae; Roh, Eun Hwan; Kim, Hee Sik: On fuzzy $B$-algebras. (English). Czechoslovak Mathematical Journal, vol. 52 (2002), issue 2, pp. 375-384
• Halaš, Radomír: Remarks on commutative Hilbert algebras. (English). Mathematica Bohemica, vol. 127 (2002), issue 4, pp. 525-529
• Jakubík, Ján: Direct product decompositions of pseudo $MV$-algebras. (English). Archivum Mathematicum, vol. 37 (2001), issue 2, pp. 131-142
• Rachůnek, Jiří: A duality between algebras of basic logic and bounded representable $DRl$-monoids. (English). Mathematica Bohemica, vol. 126 (2001), issue 3, pp. 561-569
• Jakubík, Ján: Cantor-Bernstein theorem for $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 49 (1999), issue 3, pp. 517-526
• Dudek, Wiesław Aleksander: On ideals in Hilbert algebras. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 38 (1999), issue 1, pp. 31-34
• Chajda, Ivan; Halaš, Radomír; Zedník, Josef: Filters and annihilators in implication algebras. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 37 (1998), issue 1, pp. 41-45
• Mattila, Jorma K.: Letter to the editor: Consistency of LPC+Ch. (English). Kybernetika, vol. 34 (1998), issue 2, pp. [235]-237
• Dudek, Wiesław A.; Zhang, Xiaohong: On ideals and congruences in BCC-algebras. (English). Czechoslovak Mathematical Journal, vol. 48 (1998), issue 1, pp. 21-29
• Šmarda, Bohumil: Inversions on complete lattices and Girard quantales. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 5 (1997), issue 1, pp. 53-59
• Turunen, Esko: Algebraic analysis of LPC+Ch calculus. (English). Kybernetika, vol. 31 (1995), issue 1, pp. 99-106
• Abujabal, H. A. S.; Obaid, M. A.; Aslam, M.; Thaheem, A. B.: On annihilators of BCK-algebras. (English). Czechoslovak Mathematical Journal, vol. 45 (1995), issue 4, pp. 727-735
• Jakubík, Ján: On complete $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 45 (1995), issue 3, pp. 473-480
• Jakubík, Ján: Sequential convergences on $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 45 (1995), issue 4, pp. 709-726
• Chajda, Ivan: An algebra of quasiordered logic. (English). Mathematica Bohemica, vol. 119 (1994), issue 2, pp. 129-135
• Jakubík, Ján: Direct product decomposition of $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 44 (1994), issue 4, pp. 725-739
• Gluschankof, Daniel: Cyclic ordered groups and MV-algebras. (English). Czechoslovak Mathematical Journal, vol. 43 (1993), issue 2, pp. 249-263
• Liao, Zuwei: Minimal axiomatic system of fuzzy logical algebra. (English). Kybernetika, vol. 28 (1992), issue 7, pp. 65-71
• Zlatoš, Pavol: Two notes on locally finite cylindric algebras. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 25 (1984), issue 1, pp. 181-199
• Hájek, Petr: Completion closed algebras and models of Peano arithmetic. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 22 (1981), issue 3, pp. 585-594
• Jakubíková-Studenovská, Danica: On weakly rigid monounary algebras. (English). Mathematica Slovaca, vol. 30 (1980), issue 2, pp. 197-206
• Dvurečenskij, Anatolij: On some properties of transformations of a logic. (English). Mathematica Slovaca, vol. 26 (1976), issue 2, pp. 131-137