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Local bounded commutative residuated ℓ-monoids

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Abstract

Bounded commutative residuated lattice ordered monoids (Rℓ-monoids) are a common generalization of, e.g., BL-algebras and Heyting algebras. In the paper, the properties of local and perfect bounded commutative Rℓ-monoids are investigated.

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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

  2. Department of Mathematical Methods in Economy, Faculty of Economics, VŠB-TU Ostrava, Sokolská 33, 701 21, Ostrava, Czech Republic

    Dana Šalounová

Authors
  1. Jiří Rachůnek
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  2. Dana Šalounová
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Rachůnek, J., Šalounová, D. Local bounded commutative residuated ℓ-monoids. Czech Math J 57, 395–406 (2007). https://doi.org/10.1007/s10587-007-0068-2

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  • DOI: https://doi.org/10.1007/s10587-007-0068-2

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