General Theory of Quasi-Commutative BCI-algebras

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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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Formalized Mathematics

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researchers in the fields of formal methods and computer-checked mathematics

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