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Ordered right (left) quasi-adequate semigroups | ||
| Journal of Algebra and Related Topics | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 21 بهمن 1404 اصل مقاله (218.81 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2026.29076.1735 | ||
| نویسنده | ||
| A. El-Qallali* | ||
| Department of mathematics University of Tripoli, Libya | ||
| چکیده | ||
| In a previous paper, the author investigated the structure of a right (left) quasi-adequate semigroup with a particular normal medial idempotent. The subject of the current paper is an order analogue. Namely, we provide a structure theorem for a naturally ordered quasi-adequate semigroup $(S,\leq)$ with a maximum idempotent $u$ in which $uSu$ is an adequate subsemigroup of $S$ with the property that the relations $\L$ and $\R$ are abundant. We achieve this result as a combination of those in the one-sided case. | ||
| کلیدواژهها | ||
| Natural order relations؛ Adequate semigroups؛ Quasi-adequate semigroups | ||
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آمار تعداد مشاهده مقاله: 15 تعداد دریافت فایل اصل مقاله: 33 |
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