On Companion B-algebras

Lynnel Naingue, Jocelyn Vilela

Abstract

This study introduces the concept of companion \emph{B}-algebra and establishes some of its properties. Also, this paper introduces the notions of $\odot$-subalgebra and $\odot$-ideal of a companion \emph{B}-algebra and investigates their relationship. Furthermore, this study establishes some homomorphic properties of $\odot$-subalgebra and $\odot$-ideal.

Keywords

companion \emph{B}-algebra, $\odot$-subalgebra, $\odot$-ideal, companion \emph{B}-homomorphism

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