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Implicational subreducts of \(n\)-potent commutative residuated lattices - MaRDI portal

Implicational subreducts of \(n\)-potent commutative residuated lattices (Q995378)

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scientific article; zbMATH DE number 5186250
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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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