On BI-Algebras

doi:https://doi.org/10.1515/auom-2017-0014

Open AccessArticle10.1515/auom-2017-0014

On BI-Algebras

Arsham Borumand Saeid,Hee Sik Kim,Akbar Rezaei-2017-01-26-Analele Universităţii "Ovidius" Constanţa. Seria Matematică

TL;DRAbstract

Abstract In this paper, we introduce a new algebra, called a BI-algebra, which is a generalization of a (dual) implication algebra and we discuss the basic properties of BI-algebras, and investigate ideals and congruence relations.

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Abstract In this paper, we introduce a new algebra, called a BI-algebra, which is a generalization of a (dual) implication algebra and we discuss the basic properties of BI-algebras, and investigate ideals and congruence relations.

Keywords

Congruence (geometry)Algebra over a field Mathematics Generalization Dual (grammatical number)Algebra representation Pure mathematics Jordan algebra

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