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Author: Rachůnek, Jiří

• RACHŮNEK, Jiří; ŠALOUNOVÁ, Dana: Approximation Spacesin Non-commutative Generalizations of $MV$-algebras. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 54 (2015), issue 2, pp. 83-92
• 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
• 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
• Rachůnek, Jiří; Šalounová, Dana: Modal operators on bounded residuated $\rm l$-monoids. (English). Mathematica Bohemica, vol. 133 (2008), issue 3, pp. 299-311
• 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
• 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
• 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
• 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
• Rachůnek, Jiří; Šalounová, Dana: Direct product factors in GMV-algebras. (English). Mathematica Slovaca, vol. 55 (2005), issue 4, pp. 399-407
• Rachůnek, Jiří; Šalounová, Dana: Lexicographic extensions of dually residuated lattice ordered monoids. (English). Mathematica Bohemica, vol. 129 (2004), issue 3, pp. 283-295
• Rachůnek, Jiří; Šalounová, Dana: Non-transitive generalizations of subdirect products of linearly ordered rings. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 3, pp. 591-603
• Rachůnek, Jiří: Radicals and complete distributivity in relatively normal lattices. (English). Mathematica Bohemica, vol. 128 (2003), issue 4, pp. 401-410
• Rachůnek, Jiří: A non-commutative generalization of $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 52 (2002), issue 2, pp. 255-273
• Rachůnek, Jiří: Radicals in non-commutative generalizations of MV-algebras. (English). Mathematica Slovaca, vol. 52 (2002), issue 2, pp. 135-144
• Chajda, Ivan; Rachůnek, Jiří: Annihilators in normal autometrized algebras. (English). Czechoslovak Mathematical Journal, vol. 51 (2001), issue 1, pp. 111-120
• Rachůnek, Jiří: Connections between ideals of non-commutative generalizations of $MV$-algebras and ideals of their underlying lattices. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 40 (2001), issue 1, pp. 195-200
• 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
• Rachůnek, Jiří; Švrček, Filip: MV-algebras with additive closure operators. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 39 (2000), issue 1, pp. 183-189
• Rachůnek, Jiří: Ordered prime spectra of bounded $DRl$-monoids. (English). Mathematica Bohemica, vol. 125 (2000), issue 4, pp. 505-509
• Rachůnek, Jiří: Semilinearly and semilattice right ordered groups. (English). Mathematica Slovaca, vol. 50 (2000), issue 1, pp. 25-30
• Giraudet, Michèle; Rachůnek, Jiří: Varieties of half lattice-ordered groups of monotonic permutations of chains. (English). Czechoslovak Mathematical Journal, vol. 49 (1999), issue 4, pp. 743-766
• 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
• Rachůnek, Jiří: A weakly associative generalization of the variety of representable lattice ordered groups. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 37 (1998), issue 1, pp. 107-112
• Rachůnek, Jiří: On some varieties of weakly associative lattice groups. (English). Czechoslovak Mathematical Journal, vol. 46 (1996), issue 2, pp. 231-240
• 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
• Rachůnek, Jiří: Circular totally semi-ordered groups. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 33 (1994), issue 1, pp. 109-116
• Rachůnek, Jiří: Non-modular and non-distributive primitive ordered subsets of lattices. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 32 (1993), issue 1, pp. 141-149
• Rachůnek, Jiří: On $o$-modular and $o$-distributive semilattices. (English). Mathematica Slovaca, vol. 42 (1992), issue 1, pp. 3-13
• Rachůnek, Jiří: Solid subgroups of weakly associative lattice groups. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 31 (1992), issue 1, pp. 13-24
• Rachůnek, Jiří: Convex directed subgroups of right ordered tree groups. (English). Czechoslovak Mathematical Journal, vol. 41 (1991), issue 1, pp. 99-103
• Rachůnek, Jiří: The ordinal variety of distributive ordered sets of width two. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 30 (1991), issue 1, pp. 17-32
• Rachůnek, Jiří: Regular ideals in autometrized algebras. (English). Mathematica Slovaca, vol. 40 (1990), issue 2, pp. 117-122
• Rachůnek, Jiří: Polars in autometrized algebras. (English). Czechoslovak Mathematical Journal, vol. 39 (1989), issue 4, pp. 681-685
• Rachůnek, Jiří: Structure spaces of lattice ordered groups. (English). Czechoslovak Mathematical Journal, vol. 39 (1989), issue 4, pp. 686-691
• Larmerová, Jana; Rachůnek, Jiří: Translations of distributive and modular ordered sets. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 27 (1988), issue 1, pp. 13-23
• Rachůnek, Jiří: Prime ideals in autometrized algebras. (English). Czechoslovak Mathematical Journal, vol. 37 (1987), issue 1, pp. 65-69
• Rachůnek, Jiří: Modal operators on ordered sets. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 24 (1985), issue 1, pp. 9-14
• Rachůnek, Jiří: Isometries in ordered groups. (English). Czechoslovak Mathematical Journal, vol. 34 (1984), issue 2, pp. 334-341
• Rachůnek, Jiří: On algebra-lattices. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 23 (1984), issue 1, pp. 5-10
• Chajda, Ivan; Rachůnek, Jiří: Relational characterizations of permutable and $n$-permutable varieties. (English). Czechoslovak Mathematical Journal, vol. 33 (1983), issue 4, pp. 505-508
• Rachůnek, Jiří: A characterization of ordered groups by means of segments. (English). Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika, vol. 21 (1982), issue 1, pp. 33-35
• Rachůnek, Jiří: Translations des ensembles ordonnés. (French). Mathematica Slovaca, vol. 31 (1981), issue 4, pp. 337-340
• Rachůnek, Jiří: Reflexive and antisymmetric relations and their systems. (English). Czechoslovak Mathematical Journal, vol. 31 (1981), issue 4, pp. 521-530
• Rachůnek, Jiří: Categories of systems of $X$-relations. (English). Archivum Mathematicum, vol. 16 (1980), issue 3, pp. 175-184
• Rachůnek, Jiří: Quasi-orders of algebras. (English). Časopis pro pěstování matematiky, vol. 104 (1979), issue 4, pp. 327-337
• Rachůnek, Jiří: Semi-ordered groups. (English). Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika, vol. 18 (1979), issue 1, pp. 5-20
• Rachůnek, Jiří: $Z$-subgroups of ordered groups. (English). Mathematica Slovaca, vol. 29 (1979), issue 1, pp. 39-41
• Rachůnek, Jiří: Riesz groups with a finite number of disjoint elements. (English). Czechoslovak Mathematical Journal, vol. 28 (1978), issue 1, pp. 102-107
• Rachůnek, Jiří: $O$-idéaux des ensembles ordonnés. (French) [$o$-ideals of ordered sets]. Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika, vol. 14 (1974), issue 1, pp. 77-81
• Rachůnek, Jiří: Prime subgroups of ordered groups. (English). Czechoslovak Mathematical Journal, vol. 24 (1974), issue 4, pp. 541-551
• Rachůnek, Jiří: Directed convex subgroups of ordered groups. (English). Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika, vol. 13 (1973), issue 1, pp. 39-46
• Rachůnek, Jiří: Lattice-ordered groups with minimal prime subgroups satisfying a certain condition. (English). Archivum Mathematicum, vol. 9 (1973), issue 3, pp. 147-149
• Rachůnek, Jiří: Note on Modular and Distributive Equalities in Lattices. (English). Matematický časopis, vol. 23 (1973), issue 4, pp. 352-355