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

In our recently published paper, we study pseudo-valuations on UP-algebrasand obtain some related results. In this article, we use a pseudo-metric induced by a pseudo-valuationto introduce a congruence relation on a UP-algebra. In addition, we constructthe 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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ISSN: 2667-7660
Yayın Aralığı: Yılda 2 Sayı
Başlangıç: 2019
Yayıncı: Hüseyin ÇAKALLI

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