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σ-Ideals in distributive pseudocomplemented residuated lattices
(Springer, 2015-01)
In this paper we shall introduce the notion of σ- ideals in the variety of pseudocomplemented residuated lattices.We shall also give some characterizations of the stonean pseudocomplemented residuated lattices.
Free-decomposability in Varieties of Pseudocomplemented Residuated Lattices
(Springer, 2011-07)
In this paper we prove that the free pseudocomplemented residuated lattices are decomposable if and only if they are Stone, i.e., if and only if they satisfy the identity ¬x ∨ ¬¬x = 1. Some applications are given.