Title of article :
On Ideal Elements in Poe-AG-groupoid
Author/Authors :
Shabani, A.R Department of Mathematics Imam Khomaini Naval Academy, Nowshahr, Iran
Abstract :
In this paper we introduce the concept of ideal elements in poe-AG-groupoid and give some characterizations
and properties of their ideal elements. So we consider some results concerning ideals
in poe-semigroups and investigate them in poe-AG-groupoids. Also, the class of ideal elements of
poe-AG-groupoids are studied, certain intrinsic and basic properties of poe-AG-groupoids including:
ideal, bi-ideal, interior ideal, prime, semiprime, intra-regular elements and etc. are studied as well.
The corresponding results on poe-semigroups can be also obtained as application of the results of
this paper.
Keywords :
quasi-commutative , filter element , g-regular , intra-regular , semiprime , prime , intrior ideal element , ideal element , poe-AG-groupoid , poe-semigroup , AG-groupoid
