RT - Journal Article
T1 - Quotient BCI-algebras induced by pseudo-valuations
JF - IJMSI
YR - 2010
JO - IJMSI
VO - 5
IS - 2
UR - http://ijmsi.ir/article-1-137-en.html
SP - 13
EP - 24
K1 - algebra
K1 - pseudo-valuation
K1 - ideal
K1 - pseudo-metric
K1 - quotient algebra.
AB - 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.
LA eng
UL http://ijmsi.ir/article-1-137-en.html
M3 10.7508/ijmsi.2010.02.002
ER -