Pseudo-BCI filters and subalgebras in pseudo-BCI algebras

Abstract

Pseudo-BCI filters and subalgebras of pseudo-BCI algebras are investigated. An infinite example of pseudo-BCI algebra is given, in which there exits a pseudo-BCI filter but not a subalgebra. A special class of pseudo-BCI algebra is discussed, in which every subalgebra is a pseudo-BCI filter.