Implicational subreducts of \(n\)-potent commutative residuated lattices (Q995378)
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scientific article; zbMATH DE number 5186250
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Implicational subreducts of \(n\)-potent commutative residuated lattices |
scientific article; zbMATH DE number 5186250 |
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Implicational subreducts of \(n\)-potent commutative residuated lattices (English)
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3 September 2007
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Using a new embedding of a BCK-algebra into a commutative integral residuated lattice, the implicational subreducts of \(n\)-potent commutative residuated lattices are axiomatized. Some imortant results are discussed. In particular, the class of \(\{\rightarrow, 1, \leq\}\)-subreducts of commutative residuated lattices satisfying \(x^n\leq x^m\) is axiomatized. This is a good article. Emphasis is laid on the theory of logical algebras.
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implicational subreducts
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\(n\)-potent commutative residuated lattices
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BCK-algebras
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