### 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.