About this article
Published Online: Mar 20, 2009
Page range: 253 - 258
DOI: https://doi.org/10.2478/v10037-008-0030-2
This content is open access.
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.