A Construction of a Congruence in a UP-algebra by a Pseudo-valuation

Year 2020, Volume: 2 Issue: 1, 38 - 42, 30.04.2020

Daniel A. Romano

Abstract

In our recently published paper, we study pseudo-valuations on UP-algebras
and obtain some related results. In this article, we use a pseudo-metric induced by a pseudo-valuation
to introduce a congruence relation on a UP-algebra. In addition, we construct
the quotient algebra induced by this relation and prove that it is also a UP-algebra.

Keywords

UP-algebra, pseudo-valuation of UP-algebras, pseudo-metric, quotient UP-algebra

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