Quotient BCI-algebras induced by pseudo-valuations

Author(s):

Shokoofeh Ghorbani

Message:
Abstract:
In this paper, we study pseudo-valuations on a BCI-algebra and obtain some related results. The relation between pseudo-valuations and ideals is investigated. We use a pseudo-metric induced by a pseudovaluation to introduce a congruence relation on a BCI-algebra. We define the quotient algebra induced by this relation and prove that it is also a BCI-algebra and study its properties.
Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:5 Issue: 2, Nov 2010
Pages:
13 to 24
https://www.magiran.com/p786950