INDEPENDENT AND ABSORBENT SUBSETS OF BI-ALGEBRAS

Akbar Rezaei, Shahryar Soleymani, Karim Ghadimi

Abstract


In this paper, we dene the notion of the right independent (resp., left independent) subsets of BI-algebras. Some of the properties are investigated and get more results in BI-algebras. Moreover, we consider the notion of the right absorbent (resp., left absorbent) subset. It is proved that in a right distributive BI-algebra X, every right(left) independent subset absorbs X from
the right. We show that these new concepts are dierent by presenting several examples. The goal and benets of our proposed extension of this study are to extend the theory of BI-algebras, and so we enlarge the eld of research.

Keywords


BI-algebra, (right, left) independent, (right, left) absorbent.

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