NEW VARIETIES OF BCI ALGEBRAS

Abstract

 A BCI algebra is said to form a variety if it satisfies certain ax
ioms. New varieties of BCI algebras, namely; palindromic, almost palindromic, hyper-palindromic and point-wise palindromic BCI algebras are introduced in this paper. These algebras are characterized by distinct axiomatic configurations. Their algebraic properties are investigated. The relationships that exist between the varieties are discussed. Necessary and sufficient conditions for the transformation of one variety to another are presented. Moreover, given any arbitrary algebras of type (2,0), we present conditions for such algebras to belong to any of the new varieties of BCI algebras