Semi-BCI Algebras

摘要

The notion of semi-BCI algebras is introduced and some of its properties are investigated. This notion is a generalization of BCI algebras, suggested by the process of intervalization of BCI algebras. Semi-BCI algebras have a similar structure to pseudo-BCI algebras, however they are not the same. In this paper we investigate the similarities between these classes of algebras by showing how they relate to the process of intervalization.