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

Authors : Daniel A. Romano

Pages : 38-42

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Publication Date : 2020-04-30

Article Type : Research

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