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On Ideal Elements in Poe-AG-groupoid | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 12، دوره 10، Special Issue ( Nonlinear Analysis in Engineering and Sciences)، اسفند 2019، صفحه 133-140 اصل مقاله (102.59 K) | ||
| نوع مقاله: Special issue editorial | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2019.4406 | ||
| نویسنده | ||
| A. R. Shabani* | ||
| Department of Mathematics Imam Khomaini Naval Academy, Nowshahr, Iran | ||
| تاریخ دریافت: 08 تیر 1398، تاریخ بازنگری: 25 مرداد 1398، تاریخ پذیرش: 31 شهریور 1398 | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| AG-groupoid؛ poe-semigroup؛ poe-AG-groupoid؛ ideal element؛ intrior ideal element؛ prime؛ semiprime؛ intra-regular؛ g-regular؛ filter element؛ quasi-commutative | ||
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