3 research outputs found
On Principal Congruences in Distributive Lattices with a Commutative Monoidal Operation and an Implication
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.Fil: Jansana Ferrer, Ramon. Universidad de Barcelona; EspañaFil: San MartÃn, Hernán Javier. Consejo Nacional de Investigaciones CientÃficas y Técnicas. Centro CientÃfico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentin