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Monadic Bounded Residuated Lattices |
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| Authors: | Jiří Rachůnek Dana Šalounová |
| Affiliation: | 1. Department of Algebra and Geometry, Faculty of Sciences, Palacky University, 17.listopadu 12, 771 46, Olomouc, Czech Republic 2. Department of Mathematical Methods in Economy, Faculty of Economics, V?B–Technical University Ostrava, Sokolská 33, 701 21, Ostrava, Czech Republic |
| Abstract: | Bounded integral residuated lattices form a large class of algebras which contains algebraic counterparts of several propositional logics behind many-valued reasoning and intuitionistic logic. In the paper we introduce and investigate monadic bounded integral residuated lattices which can be taken as a generalization of algebraic models of the predicate calculi of those logics in which only a single variable occurs. |
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