b-ideals in BCI-algebras

In this work we introduce the concept of ideals in BCI-algebras and characterize the relationships between this ideal with other ideals. We prove that every a-ideal is a b-ideal and every b-ideal is a p-ideal. The relations between b-ideals and quotient algebras that are constructed via these ideals are described. We also study b-ideals in important classes in BCI-algebras such as p-semi simple and associative BCI-algebras.

کلیدواژه ها:

BCI-algebra ، a-ideal ، b-ideal ، p-ideal ، q-ideal. Introduction