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Subdirectly irreducible MV-algebras

Hernando Gaitan — 2003

Czechoslovak Mathematical Journal

In this note we characterize the one-generated subdirectly irreducible MV-algebras and use this characterization to prove that a quasivariety of MV-algebras has the relative congruence extension property if and only if it is a variety.

Duality for Hilbert algebras with supremum: An application

Hernando Gaitan — 2017

Mathematica Bohemica

We modify slightly the definition of H -partial functions given by Celani and Montangie (2012); these partial functions are the morphisms in the category of H -space and this category is the dual category of the category with objects the Hilbert algebras with supremum and morphisms, the algebraic homomorphisms. As an application we show that finite pure Hilbert algebras with supremum are determined by the monoid of their endomorphisms.

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