<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>It is known that commutative BCK-algebras form a variety, but BCK-algebras do not [4]. Therefore H. Yutani introduced the notion of quasicommutative BCK-algebras. In this article we first present the notion and general theory of quasi-commutative BCI-algebras. Then we discuss the reduction of the type of quasi-commutative BCK-algebras and some special classes of quasicommutative BCI-algebras.</p></abstract>

It is known that commutative BCK-algebras form a variety, but BCK-algebras do not [4]. Therefore H. Yutani introduced the notion of quasicommutative BCK-algebras. In this article we first present the notion and general theory of quasi-commutative BCI-algebras. Then we discuss the reduction of the type of quasi-commutative BCK-algebras and some special classes of quasicommutative BCI-algebras.

General Theory of Quasi-Commutative BCI-algebras

Qingdao University of Science and Technology, China

Formalized Mathematics

{"article-title":"General Theory of Quasi-Commutative BCI-algebras"}

It is known that commutative BCK-algebras form a variety, but BCK-algebras do not [4]. Therefore H. Yutani introduced the notion of quasicommutative...

General Theory of Quasi-Commutative BCI-algebras

Published Online: Mar 20, 2009

Page range: 253 - 258

DOI: https://doi.org/10.2478/v10037-008-0030-2

This content is open access.