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On principal congruences in distributive lattices with a commutative monoidal operation and an implication (1804.06933v1)
Published 18 Apr 2018 in math.LO
Abstract: In this paper we introduce and study a variety of algebras that properly includes integral distributive commutative residuated lattices and weak Heyting algebras. Our main goal is to give a characterization of the principal congruences in this variety. We apply this description in order to study compatible functions.
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