INDEPENDENT AND ABSORBENT SUBSETS OF BI-ALGEBRAS

Authors

  • Akbar Rezaei Department of Mathematics, Payame Noor University, P. O. Box 19395-3697, Tehran, Iran
  • Shahryar Soleymani Department of Mathematics, Payame Noor University, P. O. Box 19395-3697, Tehran, Iran
  • Karim Ghadimi Department of Mathematics, Payame Noor University, P. O. Box 19395-3697, Tehran, Iran

Keywords:

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

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.

Author Biographies

Akbar Rezaei, Department of Mathematics, Payame Noor University, P. O. Box 19395-3697, Tehran, Iran

Associate Professor of Mathematics, Payame Noor University

Karim Ghadimi, Department of Mathematics, Payame Noor University, P. O. Box 19395-3697, Tehran, Iran

Assistant Professor of Mathematics, Payame Noor University

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Published

2023-02-06

Issue

Vol. 17

Section

Vol. 17, No. 2, (2023)

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