A BCC-algebra as a subclass of K-algebras

Abstract

Our main purpose in this note is to prove the class of BCC-algebras as a subclass of K-algebras. Further it is shown that:(i) the class of B-algebras is equivalent to the class of BCCI-algebras, (ii) a BCCI-algebra is a member of the subclass of K-algebras in which B-algebras lies, if the group G is non-abelian.

2000 Mathematics Subject Classification. 06F35.

Key words and phrases. K-algebra, B-algebra, BCC-algebra, BCK-algebra and BCCI-algebra.