En-prime Subacts over Monoids with Zero

Authors

  • Shireen O. Dakheel Department of Mathematics, College of Science for Women, University of Baghdad, Baghdad, Iraq

Keywords:

En-prime subact, Prime subact, Fully invariant subact, Maximal subacts

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 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. 

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Published

2022-01-18

Issue

Section

Mathematics

How to Cite

En-prime Subacts over Monoids with Zero. (2022). Iraqi Journal of Science, 58(1B), 280-283. https://ijs.uobaghdad.edu.iq/index.php/eijs/article/view/6160

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