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On BI-Ideal elements in POE-AG-Groupoid | ||
| Caspian Journal of Mathematical Sciences | ||
| مقاله 9، دوره 10، شماره 1، مهر 2021، صفحه 77-84 اصل مقاله (69.8 K) | ||
| نوع مقاله: Research Articles | ||
| شناسه دیجیتال (DOI): 10.22080/cjms.2020.17394.1433 | ||
| نویسندگان | ||
| Alireza Shabani* 1؛ Mohammad Ali Shamalizade2 | ||
| 1Department of Mathematics Imam Khomaini Naval Academy, Nowshahr, Iran | ||
| 2Imam Kamenei Complex, Imam Hossin Univirsity, Tehran, Iran | ||
| تاریخ دریافت: 30 مهر 1398، تاریخ بازنگری: 31 خرداد 1400، تاریخ پذیرش: 04 شهریور 1399 | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| AG-groupoid؛ poe-semigroup؛ poe-AG-groupoid؛ bi-ideal element | ||
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آمار تعداد مشاهده مقاله: 197 تعداد دریافت فایل اصل مقاله: 207 |
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