En-semi prime subacts over monoids with zero

Authors

  • Shireen O. Dakheel University of Baghdad - Department of Mathematics

Keywords:

En-semi prime subact, En-Prime subact, En-pure subact, En-radical of subact

Abstract

Let S be a monoids with zero and As be a right S-act.  In this paper, we introduce the notion of En-semi prime subact of an S-act As which is defined as: A proper subact B of an S-act As is said to be En-semi prime subact, if whenever f2(a)S ⊆ B for some endomorphism f of an S-act As, and a ∈ As, then f(a)S ⊆ B.  An S-act As itself is called En-semi prime if the zero subact (θ) of As is En-semi prime subact of As.  Also, we study and give some related concepts of this notion like: semi prime subact, En-prime subact, En-pure subact and En-radical of subact.

Cover of n°43 Italian Journal of Pure and Applied Mathematics

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Published

2020-02-14

How to Cite

Dakheel, S. O. (2020). En-semi prime subacts over monoids with zero. Italian Journal of Pure and Applied Mathematics, 43, 95–99. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/7370

Issue

N°43 - February 2020

Section

Articoli - Forum Editrice

License

Copyright (c) 2020 Shireen O. Dakheel

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)