Document Type : Special Issue
Department of Mathematics Imam Khomaini Naval Academy, Nowshahr, Iran
Imam Kamenei Complex, Imam Hossin Univirsity, Tehran, Iran
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.