Nearly Primary-2-Absorbing Submodules and other Related Concepts

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Ali Sh. Ajeel Omar A. Abdulla Haibat K. Mohammadali

Abstract

Our aim in this paper is to introduce the notation of nearly primary-2-absorbing submodule as generalization of 2-absorbing submodule where a proper submodule  of an -module  is called nearly primary-2-absorbing submodule if whenever , for , , ,  implies that either  or  or . We got many basic, properties, examples and characterizations of this concept. Furthermore, characterizations of nearly primary-2-absorbing submodules in some classes of modules were inserted. Moreover, the behavior of nearly primary-2-absorbing submodule under -epimorphism was studied.

Article Details

How to Cite
SH. AJEEL, Ali; A. ABDULLA, Omar; K. MOHAMMADALI, Haibat. Nearly Primary-2-Absorbing Submodules and other Related Concepts. Ibn AL- Haitham Journal For Pure and Applied Science, [S.l.], v. 34, n. 1, jan. 2021. ISSN 2521-3407. Available at: <https://jih.uobaghdad.edu.iq/index.php/j/article/view/2560>. Date accessed: 21 apr. 2021.
Section
mathematics