On epimorphisms and structurally regular semigroups | ||
| Categories and General Algebraic Structures with Applications | ||
| مقاله 8، دوره 15، شماره 1، مهر 2021، صفحه 231-253 اصل مقاله (715.07 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.52547/cgasa.15.1.231 | ||
| نویسندگان | ||
| Aftab Hussain Shah* 1؛ Sakeena Bano2؛ Shabir Ahmad Ahanger2؛ Wajih Ashraf3 | ||
| 1Department of Mathematics of Central University of Kashmir, Ganderbal, India | ||
| 2Department of Mathematics Central University of Kashmir, Ganderbal, India | ||
| 3Department of Mathematics, Aligarh Muslim University, Aligarh, India | ||
| چکیده | ||
| In this paper we study epimorphisms, dominions and related properties for some classes of structurally (n,m)-regular semigroups for any pair (n,m) of positive integers. In Section 2, after a brief introduction of these semigroups, we prove that the class of structurallly (n,m)-generalized inverse semigroups is closed under morphic images. We then prove the main result of this section that the class of structurally (n,m)-generalized inverse semigroups is saturated and, thus, in the category of all semigroups, epimorphisms in this class are precisely surjective morphisms. Finally, in the last section, we prove that the variety of structurally (o, n)-left regular bands is saturated in the variety of structurally (o, k)-left regular bands for all positive integers k and n with 1 ≤ k ≤ n. | ||
| کلیدواژهها | ||
| Dominions؛ epimorphisms؛ zigzag؛ saturated؛ structurally regular | ||
| مراجع | ||
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آمار تعداد مشاهده مقاله: 356 تعداد دریافت فایل اصل مقاله: 802 |
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