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, O. A., & Mohammadali, H. K. (2019). Pseudo Primary-2-Absorbing Submodules and Some Related Concepts. Ibn AL- Haitham Journal For Pure and Applied Sciences, 32(3), 129–139. https://doi.org/10.30526/32.3.2290
Section
mathematics