On Pre-Commutative Algebras

Abstract

In this paper, we introduce the notions of generalized commutative laws in algebras, and investigate their relations by using Smarandache disjointness. Moreover, we show that every pre-commutative B C K -algebra is bounded.

Keywords

• abelian
• (left-, right-) pre-commutative
• commutative
• <i>d</i>/<i>BCK</i>-algebra
• Smarandache disjoint