Prime Ideals in BCI and BCK-Algebras

Rajab ali Borzooei, Omid Zahiri


In this paper, we introduced a new definition of prime ideal in BCI-algebras and
show that it is equivalent to the last definition of prime ideal in lower BCK-semilattice. Then attempt to generalized some useful theorems about prime ideals, in BCI-algebras, instead of lower BCK-semilattices.

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