On BI-Ideal elements in POE-AG-Groupoid

Document Type : Research Articles

Authors

1 Department of Mathematics Imam Khomaini Naval Academy, Nowshahr, Iran

2 Imam Kamenei Complex, Imam Hossin Univirsity, Tehran, Iran

Abstract

In this paper we introduce the concept of ideal and bi-ideal elements in poe-AG-groupoid and give some characterizations and properties of their bi-ideal elements. So we consider some results concerning bi-ideals in poe-semigroups and investigate them in poe-AG-groupoids. Also, the class of bi-ideal elements of poe-AG-groupoids are studied, certain intrinsic and basic properties of poe-AG-groupoids including:∧-semilattice, bi-ideal, semiprime, weaklyprime, totallyorderedelements and etc. are studied as well. The corresponding results on poe-semigroups can be also obtained as application of the results of this paper.

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