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The inverse monoid associated to a group and the semidirect product of groups | ||
Journal of Algebra and Related Topics | ||
مقاله 3، دوره 7، شماره 1، شهریور 2019، صفحه 25-34 اصل مقاله (266 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22124/jart.2019.11348.1120 | ||
نویسنده | ||
N. Ghadbane* | ||
Laboratory of Pure and Applied Mathematics , Department of Mathematics, University of M'sila, B.P 166, Msila, Algeria | ||
چکیده | ||
In this paper, we construct an inverse monoid $M\left( G\right) $ associated to a given group $G$ by using the notion of the join of subgroups and then, by applying the left action of monoid $M$ on a semigroup $S$, we form a semigroup $S\omega M$ on the set $S\times M$. The finally result is to build the semi direct product of groups associated to the group action on an another group. | ||
کلیدواژهها | ||
Semigroup؛ idempotents of semigroup؛ inverses of semigroup | ||
آمار تعداد مشاهده مقاله: 845 تعداد دریافت فایل اصل مقاله: 1,109 |