General Theory of Quasi-Commutative BCI-algebras

Tao Sun 1 , Weibo Pan 1 , Chenglong Wu 1  and Xiquan Liang 1
  • 1 Qingdao University of Science and Technology, China

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 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.

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