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arXiv · 1804.06933

On principal congruences in distributive lattices with a commutative monoidal operation and an implication

Ramon Jansana·Hernan Javier San Martin
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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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Ramon Jansana, Hernan Javier San Martin. 2018-04-18. On principal congruences in distributive lattices with a commutative monoidal operation and an implication. https://doi.org/10.1007/s11225-018-9796-6

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