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THE INVERSE MONOID ASSOCIATED TO A GROUP AND THE SEMIDIRECT PRODUCT OF GROUPS
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نویسنده
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ghadbane nacer
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منبع
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journal of algebra and related topics - 2019 - دوره : 7 - شماره : 1 - صفحه:25 -34
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چکیده
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In this paper, we construct an inverse monoid m (g) 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 sωm on the set s × m. the finally result is to build the semi direct product of groups associated to the group action on an another group.
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کلیدواژه
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Semigroup ,group ,idempotents of semigroup ,inverses of semigroup ,Cayley table ,symmetric inverse semigroup.
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آدرس
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university of m’sila, department of mathematics, laboratory of pure and applied mathematics, Algeria
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پست الکترونیکی
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nasser.ghadbane@univ-msila.dz
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Authors
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