%0 Journal Article
%A Ghorbani, Shokoofeh
%T Quotient BCI-algebras induced by pseudo-valuations
%J Iranian Journal of Mathematical Sciences and Informatics
%V 5
%N 2
%U http://ijmsi.ir/article-1-137-en.html
%R 10.7508/ijmsi.2010.02.002
%D 2010
%K algebra, pseudo-valuation, ideal, pseudo-metric, quotient algebra.,
%X 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.
%> http://ijmsi.ir/article-1-137-en.pdf
%P 13-24
%& 13
%!
%9 Research paper
%L A-10-1-81
%+
%G eng
%@ 1735-4463
%[ 2010