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06F05 Ordered semigroups and monoids (106 articles)

• Li, Gang; Li, Zhenbo; Wang, Jing: Some results on the weak dominance relation between ordered weighted averaging operators and T-norms. (English). Kybernetika, vol. 60 (2024), issue 3, pp. 379-393
• Li, Gang: On a special class of left-continuous uninorms. (English). Kybernetika, vol. 54 (2018), issue 3, pp. 427-442
• Li, Gang; Liu, Hua-Wen; Fodor, János: On almost equitable uninorms. (English). Kybernetika, vol. 51 (2015), issue 4, pp. 699-711
• Rachůnek, Jiří; Svoboda, Zdeněk: Interior and Closure Operators on Commutative Bounded Residuated Lattices. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 52 (2013), issue 1, pp. 121-134
• Rachůnek, Jiří; Svoboda, Zdeněk: Monotone modal operators on bounded integral residuated lattices. (English). Mathematica Bohemica, vol. 137 (2012), issue 3, pp. 333-345
• Kepka, Tomáš; Němec, Petr: (Pre)order preserving additive homomorphisms of (pre)ordered commutative semigroups into real numbers. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 53 (2012), issue 1, pp. 3-32
• 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
• 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
• Chen, Wei; Zhao, Xianzhong: The structure of idempotent residuated chains. (English). Czechoslovak Mathematical Journal, vol. 59 (2009), issue 2, pp. 453-479
• Jakubík, Ján: Direct product decompositions of bounded commutative residuated $\ell$-monoids. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 4, pp. 1129-1143
• 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; Kühr, Jan: Join-semilattices whose sections are residuated po-monoids. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 4, pp. 1107-1127
• Rachůnek, Jiří; Šalounová, Dana: Modal operators on bounded residuated $\rm l$-monoids. (English). Mathematica Bohemica, vol. 133 (2008), issue 3, pp. 299-311
• Emanovský, P.; Rachůnek, J.: A non commutative generalization of $\star$-autonomous lattices. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 3, pp. 725-740
• Bican, Ladislav: Non-singular covers over monoid rings. (English). Mathematica Bohemica, vol. 133 (2008), issue 1, pp. 9-17
• Demko, Milan: Products of partially ordered quasigroups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 49 (2008), issue 2, pp. 209-217
• Stanovský, David: Commutative idempotent residuated lattices. (English). Czechoslovak Mathematical Journal, vol. 57 (2007), issue 1, pp. 191-200
• Rachůnek, Jiří; Šalounová, Dana: Local bounded commutative residuated $\ell$-monoids. (English). Czechoslovak Mathematical Journal, vol. 57 (2007), issue 1, pp. 395-406
• Rachůnek, Jiří; Šalounová, Dana: Modal operators on bounded commutative residuated $\ell $-monoids. (English). Mathematica Slovaca, vol. 57 (2007), issue 4, pp. [321]-332
• Jasem, Milan: On ideals of lattice ordered monoids. (English). Mathematica Bohemica, vol. 132 (2007), issue 4, pp. 369-387
• Drygaś, Paweł: On the structure of continuous uninorms. (English). Kybernetika, vol. 43 (2007), issue 2, pp. 183-196
• Kühr, J.; Rachůnek, J.: Weak Boolean products of bounded dually residuated $l$-monoids. (English). Mathematica Bohemica, vol. 132 (2007), issue 3, pp. 225-236
• Demirci, Mustafa: Aggregation operators on partially ordered sets and their categorical foundations. (English). Kybernetika, vol. 42 (2006), issue 3, pp. 261-277
• 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
• 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
• Maes, Koen C.; De Baets, Bernard: A contour view on uninorm properties. (English). Kybernetika, vol. 42 (2006), issue 3, pp. 303-318
• Ruiz-Aguilera, Daniel; Torrens, Joan: Distributivity of strong implications over conjunctive and disjunctive uninorms. (English). Kybernetika, vol. 42 (2006), issue 3, pp. 319-336
• 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
• Harlenderová, Magdalena; Rachůnek, Jiří: Modal operators on MV-algebras. (English). Mathematica Bohemica, vol. 131 (2006), issue 1, pp. 39-48
• Rachůnek, Jiří; Slezák, Vladimír: Negation in bounded commutative $DR\ell$-monoids. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 2, pp. 755-763
• Bican, Ladislav: Non-singular covers over ordered monoid rings. (English). Mathematica Bohemica, vol. 131 (2006), issue 1, pp. 95-104
• Dvurečenskij, Anatolij; Rachůnek, Jiří: On Riečan and Bosbach states for bounded non-commutative $R\ell $-monoids. (English). Mathematica Slovaca, vol. 56 (2006), issue 5, pp. 487-500
• 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
• Drygaś, Paweł: Discussion of the structure of uninorms. (English). Kybernetika, vol. 41 (2005), issue 2, pp. [213]-226
• Kühr, Jan: Ideals of noncommutative $DR\ell$-monoids. (English). Czechoslovak Mathematical Journal, vol. 55 (2005), issue 1, pp. 97-111
• Jayaram, C.: Almost $\pi$-lattices. (English). Czechoslovak Mathematical Journal, vol. 54 (2004), issue 1, pp. 119-130
• Janssens, Saskia; De Baets, Bernard; De Meyer, Hans: Bell-type inequalities for parametric families of triangular norms. (English). Kybernetika, vol. 40 (2004), issue 1, pp. [89]-106
• Polák, Libor: A classification of rational languages by semilattice-ordered monoids. (English). Archivum Mathematicum, vol. 40 (2004), issue 4, pp. 395-406
• Rachůnek, Jiří; Šalounová, Dana: Lexicographic extensions of dually residuated lattice ordered monoids. (English). Mathematica Bohemica, vol. 129 (2004), issue 3, pp. 283-295
• Ibrahim, Mohammed Ali Faya: On the embedding of ordered semigroups into ordered group. (English). Czechoslovak Mathematical Journal, vol. 54 (2004), issue 2, pp. 303-313
• Švrček, Filip: Operators on $GMV$-algebras. (English). Mathematica Bohemica, vol. 129 (2004), issue 4, pp. 337-347
• Gaubert, Stéphane; Katz, Ricardo: Rational semimodules over the max-plus semiring and geometric approach to discrete event systems. (English). Kybernetika, vol. 40 (2004), issue 2, pp. [153]-180
• 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
• Ruiz, Daniel; Torrens, Joan: Residual implications and co-implications from idempotent uninorms. (English). Kybernetika, vol. 40 (2004), issue 1, pp. [21]-38
• Mas, Margarita; Monserrat, Miquel; Torrens, Joan: S-implications and $R$-implications on a finite chain. (English). Kybernetika, vol. 40 (2004), issue 1, pp. [3]-20
• Kühr, Jan: Spectral topologies of dually residuated lattice-ordered monoids. (English). Mathematica Bohemica, vol. 129 (2004), issue 4, pp. 379-391
• Díaz, Susana; Montes, Susana; De Baets, Bernard: Transitive decomposition of fuzzy preference relations: the case of nilpotent minimum. (English). Kybernetika, vol. 40 (2004), issue 1, pp. [71]-88
• Gondran, Michel; Saade, Rita Hoblos: Complex calculus of variations. (English). Kybernetika, vol. 39 (2003), issue 2, pp. [249]-263
• Burbanks, Andrew D.; Sparrow, Colin T.; Nussbaum, Roger D.: Continuous extension of order-preserving homogeneous maps. (English). Kybernetika, vol. 39 (2003), issue 2, pp. [205]-215
• Li, Jun: A further investigation for Egoroff's theorem with respect to monotone set functions. (English). Kybernetika, vol. 39 (2003), issue 6, pp. [753]-760
• Jayaram, C.: Laskerian lattices. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 2, pp. 351-363
• Šalounová, Dana: Lex-ideals of DR$\ell $-monoids and GMV-algebras. (English). Mathematica Slovaca, vol. 53 (2003), issue 4, pp. 321-330
• Benvenuti, Luca; Farina, Lorenzo: Minimal positive realizations: a survey of recent results and open problems. (English). Kybernetika, vol. 39 (2003), issue 2, pp. [217]-228
• Lahaye, Sébastien; Hardouin, Laurent; Boimond, Jean-Louis: Models combination in (max,+) algebra for the implementation of a simulation and analysis software. (English). Kybernetika, vol. 39 (2003), issue 2, pp. [143]-154
• Cottenceau, B.; Lhommeau, M.; Hardouin, L.; Boimond, J.-L.: On timed event graph stabilization by output feedback in dioid. (English). Kybernetika, vol. 39 (2003), issue 2, pp. [165]-176
• Kühr, Jan: Prime ideals and polars in DR$\ell $-monoids and BL-algebras. (English). Mathematica Slovaca, vol. 53 (2003), issue 3, pp. 233-246
• Gulinsky, Oleg V.: The principle of the largest terms and quantum large deviations. (English). Kybernetika, vol. 39 (2003), issue 2, pp. [229]-247
• Kühr, Jan: Pseudo $BL$-algebras and $DR\ell $-monoids. (English). Mathematica Bohemica, vol. 128 (2003), issue 2, pp. 199-208
• Rachůnek, Jiří: Radicals and complete distributivity in relatively normal lattices. (English). Mathematica Bohemica, vol. 128 (2003), issue 4, pp. 401-410
• Cuninghame-Green, Ray A.: Rational algebra and MM functions. (English). Kybernetika, vol. 39 (2003), issue 2, pp. [123]-128
• Cechlárová, Katarína; Cuninghame-Green, Ray A.: Soluble approximation of linear systems in max-plus algebra. (English). Kybernetika, vol. 39 (2003), issue 2, pp. [137]-141
• Truffet, Laurent: Some ideas for comparison of Bellman chains. (English). Kybernetika, vol. 39 (2003), issue 2, pp. [155]-163
• Bělohlávek, Radim: Some properties of residuated lattices. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 1, pp. 161-171
• Drewniak, Jósef; Sobera, Jolanta: Structure of partially ordered cyclic semigroups. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 4, pp. 777-791
• Kühr, Jan: Archimedean GMV-chains. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 41 (2002), issue 1, pp. 83-88
• Rachůnek, Jiří: A non-commutative generalization of $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 52 (2002), issue 2, pp. 255-273
• Jayaram, C.: Primary elements in Prüfer lattices. (English). Czechoslovak Mathematical Journal, vol. 52 (2002), issue 3, pp. 585-593
• Chajda, Ivan; Rachůnek, Jiří: Annihilators in normal autometrized algebras. (English). Czechoslovak Mathematical Journal, vol. 51 (2001), issue 1, pp. 111-120
• Petrich, Mario: Certain partial orders on semigroups. (English). Czechoslovak Mathematical Journal, vol. 51 (2001), issue 2, pp. 415-432
• 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
• Rachůnek, Jiří: Polars and annihilators in representable ${\rm DRl}$-monoids and ${\rm MV}$-algebras. (English). Mathematica Slovaca, vol. 51 (2001), issue 1, pp. 1-12
• Kovář, Tomáš: Normal autometrized lattice ordered algebras. (English). Mathematica Slovaca, vol. 50 (2000), issue 4, pp. 369-376
• Kovář, Tomáš: On (weak) zero-fixing isometries in dually residuated lattice ordered semigroups. (English). Mathematica Slovaca, vol. 50 (2000), issue 2, pp. 123-125
• Rachůnek, Jiří: Ordered prime spectra of bounded $DRl$-monoids. (English). Mathematica Bohemica, vol. 125 (2000), issue 4, pp. 505-509
• Kalapodi, A.; Kontolatou, A.; Močkoř, J.: Some properties of Lorenzen ideal systems. (English). Archivum Mathematicum, vol. 36 (2000), issue 4, pp. 287-295
• Kovář, Tomáš: Two remarks on dually residuated lattice ordered semigroups. (English). Mathematica Slovaca, vol. 49 (1999), issue 1, pp. 17-18
• Rachůnek, Jiří: DRl-semigroups and $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 48 (1998), issue 2, pp. 365-372
• Rachůnek, Jiří: MV-algebras are categorically equivalent to a class of $\scr{DR}l\sb {1(i)}$-semigroups. (English). Mathematica Bohemica, vol. 123 (1998), issue 4, pp. 437-441
• Rachůnek, Jiří: Spectra of autometrized lattice algebras. (English). Mathematica Bohemica, vol. 123 (1998), issue 1, pp. 87-94
• Chvalina, Jan: The Iséki-type characterization of certain regular ordered semigroups. (English). Czechoslovak Mathematical Journal, vol. 47 (1997), issue 2, pp. 261-276
• Jayaram, C.; Johnson, E. W.: Strong compact elements in multiplicative lattices. (English). Czechoslovak Mathematical Journal, vol. 47 (1997), issue 1, pp. 105-112
• Rachůnek, Jiří: The semigroup of varieties of weakly associative lattice groups. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 34 (1995), issue 1, pp. 151-154
• Zelinka, Bohdan: Subtraction semigroups. (English). Mathematica Bohemica, vol. 120 (1995), issue 4, pp. 445-447
• Hansen, Mary E.: Minimal prime ideals in autometrized algebras. (English). Czechoslovak Mathematical Journal, vol. 44 (1994), issue 1, pp. 81-90
• Mitsch, Heinz: Semigroups and their natural order. (English). Mathematica Slovaca, vol. 44 (1994), issue 4, pp. 445-462
• Jakubík, Ján: On filters of ordered semigroups. (English). Czechoslovak Mathematical Journal, vol. 43 (1993), issue 3, pp. 519-522
• Merlier, Thérèse: On lattice ordered periodic semigroups. (English). Czechoslovak Mathematical Journal, vol. 43 (1993), issue 1, pp. 95-106
• Jasem, Milan: Weak isometries and direct decompositions of dually residuated lattice ordered semigroups. (English). Mathematica Slovaca, vol. 43 (1993), issue 2, pp. 119-136
• Rachůnek, Jiří: Regular ideals in autometrized algebras. (English). Mathematica Slovaca, vol. 40 (1990), issue 2, pp. 117-122
• Pedicchio, Maria Cristina; Tholen, Walter: Multiplicative structures over sup-lattices. (English). Archivum Mathematicum, vol. 25 (1989), issue 1, pp. 107-114
• Paseka, Jan: A note on the prime ideal theorem. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 30 (1989), issue 2, pp. 131-136
• Merlier, Thérèse: Some properties of lattice ordered Rees matrix semigroups. (English). Czechoslovak Mathematical Journal, vol. 38 (1988), issue 4, pp. 573-577
• Saitô, Tôru: Archimedean classes in an ordered semigroup. IV. (English). Czechoslovak Mathematical Journal, vol. 37 (1987), issue 1, pp. 86-119
• Rachůnek, Jiří: Prime ideals in autometrized algebras. (English). Czechoslovak Mathematical Journal, vol. 37 (1987), issue 1, pp. 65-69
• Machner, Joachim: Standard monads. (English). Archivum Mathematicum, vol. 23 (1987), issue 2, pp. 77-88
• Anderson, Marlow: Archimedean equivalence for strictly positive lattice-ordered semigroups. (English). Czechoslovak Mathematical Journal, vol. 36 (1986), issue 1, pp. 18-27
• Jakubík, Ján: On strictly positive lattice ordered semigroups. (English). Czechoslovak Mathematical Journal, vol. 36 (1986), issue 1, pp. 31-34
• Paseka, Jan: Regular and normal quantales. (English). Archivum Mathematicum, vol. 22 (1986), issue 4, pp. 203-210
• Riečanová, Zdena: Regularity of semigroup-valued set functions. (English). Mathematica Slovaca, vol. 34 (1984), issue 2, pp. 165-170
• Pondělíček, Bedřich: On representations of tolerance ordered commutative semigroups. (English). Czechoslovak Mathematical Journal, vol. 31 (1981), issue 1, pp. 153-158
• Trnková, Věra; Koubek, Václav: Isomorphisms of products of infinite graphs. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 19 (1978), issue 4, pp. 639-652
• Menu, Jan; Pavelka, Jan: On the poset of tensor products on the unit interval. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 18 (1977), issue 2, pp. 329-341
• Menu, Jan; Pavelka, Jan: A note on tensor products on the unit interval. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 17 (1976), issue 1, pp. 71-83