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En-prime Subacts over Monoids with Zero | ||
| Iraqi Journal of Science | ||
| Article 1, Volume 58, Issue 1, 2018, Pages 280-283 | ||
| Author | ||
| Shireen O. Dakheel | ||
| Abstract | ||
| Throughout this paper S will be denote a monoids with zero. In this paper, we introduce the concept of En- prime subact, where a proper subact B of a right S- act As is called En- prime subact if for any endomorphism f of As and a ∈As with f(a)S⊆ Bimplies that either a ∈ B or f(As) ⊆ B. The right S-act As is called En-prime if the zero subact (θ) of As is En-prime subact. Some various properties of En-prime subact are considered, and also we study some relationships between En-prime subact and some other concepts such as prime subact and maximal subact. | ||
| Keywords | ||
| prime subact; Prime subact; Fully invariant subact; Maximal subacts | ||
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