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Negation in bounded commutative DRℓ-monoids

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Abstract

The class of commutative dually residuated lattice ordered monoids (DRℓ-monoids) contains among others Abelian lattice ordered groups, algebras of Hájek’s Basic fuzzy logic and Brouwerian algebras. In the paper, a unary operation of negation in bounded DRℓ-monoids is introduced, its properties are studied and the sets of regular and dense elements of DRℓ-monoids are described.

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Authors and Affiliations

  1. Department of Algebra and Geometry, Faculty of Sciences, Palacký University, Tomkova 40, 779 00, Olomouc, Czech Republic

    Jiří Rachůnek & Vladimír Slezák

Authors
  1. Jiří Rachůnek
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  2. Vladimír Slezák
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Rachůnek, J., Slezák, V. Negation in bounded commutative DRℓ-monoids. Czech Math J 56, 755–763 (2006). https://doi.org/10.1007/s10587-006-0053-1

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  • DOI: https://doi.org/10.1007/s10587-006-0053-1

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