A BCC-algebra as a subclass of K-algebras

摘要

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.