Pseudo Primary-2-Absorbing Submodules and Some Related Concepts

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Omar A. Abdulla Haibat K. Mohammadali

Abstract

      Let  be a commutative ring with identity. The aim of this paper is introduce the notion of a pseudo primary-2-absorbing submodule as generalization of 2-absorbing submodule and a pseudo-2-absorbing submodules. A proper submodule  of an -module  is called pseudo primary-2-absorbing if whenever , for , , implies that either                  or  or . Many basic properties, examples and characterizations of these concepts are given. Furthermore, characterizations of pseudo primary-2-absorbing submodules in some classes of modules are introduced. Moreover, the behavior of a pseudo primary-2-absorbing submodule under -homomorphism is studied. 

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How to Cite
ABDULLA, Omar A.; MOHAMMADALI, Haibat K.. Pseudo Primary-2-Absorbing Submodules and Some Related Concepts. Ibn AL- Haitham Journal For Pure and Applied Science, [S.l.], v. 32, n. 3, p. 129-139, sep. 2019. ISSN 2521-3407. Available at: <http://jih.uobaghdad.edu.iq/index.php/j/article/view/2290>. Date accessed: 13 oct. 2019. doi: http://dx.doi.org/10.30526/32.3.2290.
Section
mathematics