Abstract

The implicational subreducts of n-potent commutative integral residuated lattices are axiomatized using a new embedding of a BCK-algebra into a commutative integral residuated lattice. The class of {→, 1, ≤ }-subreducts of commutative residuated lattices satisfying xn ≤ xm is also axiomatized, as are other subreduct classes.

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