TY - JOUR
T1 - Quotient BCI-algebras induced by pseudo-valuations
TT -
JF - IJMSI
JO - IJMSI
VL - 5
IS - 2
UR - http://ijmsi.ir/article-1-137-en.html
Y1 - 2010
SP - 13
EP - 24
KW - algebra
KW - pseudo-valuation
KW - ideal
KW - pseudo-metric
KW - quotient algebra.
N2 - 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.
M3 10.7508/ijmsi.2010.02.002
ER -