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  • Topological Boolean algebras are generalizations of topological spaces defined by means of topological closure and interior operators, respectively. The authors in [14] generalized topological Boolean algebras to closure and interior operators which are an algebraic counterpart of the Lukasiewicz infinite valued logic. In the paper, these kinds of operators are extended (and investigated) to the wide class of bounded commutative Rℓ-monoid that contains e.g. the classes of BL-algebras (i.e. algebras of the H´ajek?s basic fuzzy logic) and Heyting algebras as proper subclasses.
  • Topological Boolean algebras are generalizations of topological spaces defined by means of topological closure and interior operators, respectively. The authors in [14] generalized topological Boolean algebras to closure and interior operators which are an algebraic counterpart of the Lukasiewicz infinite valued logic. In the paper, these kinds of operators are extended (and investigated) to the wide class of bounded commutative Rℓ-monoid that contains e.g. the classes of BL-algebras (i.e. algebras of the H´ajek?s basic fuzzy logic) and Heyting algebras as proper subclasses. (en)
Title
  • Interior and closure operators on bounded commutative residuated ℓ-monoids
  • Interior and closure operators on bounded commutative residuated ℓ-monoids (en)
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  • Interior and closure operators on bounded commutative residuated ℓ-monoids
  • Interior and closure operators on bounded commutative residuated ℓ-monoids (en)
skos:notation
  • RIV/61989592:15310/08:00005544!RIV10-MSM-15310___
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  • Z(MSM6198959214)
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  • 1
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  • 372919
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  • RIV/61989592:15310/08:00005544
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  • residuated ℓ-monoid; residuated lattice; closure operator; BL-algebra; MV -algebra (en)
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  • PL - Polská republika
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  • [3EF4C35A09FA]
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  • Discussiones Mathematicae. General Algebra and Applications
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  • 28
http://linked.open...iv/tvurceVysledku
  • Rachůnek, Jiří
  • Švrček, Filip
http://linked.open...n/vavai/riv/zamer
issn
  • 1509-9415
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  • 15310
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