On Almost 2-Absorbing Primary Sub-modules

Arwa E. Ashour, Mohammed M. Al-Ashker, Osama A. Naji

Abstract


Let R be a commutative ring with identity and M be a unitary R-module, In this paper we introduce the concept of almost 2-absorbing primary sub-modules as a new generalization of 2-absorbing sub-modules. We study some basic properties of almost 2-absorbing primary sub-modules and give some characterizations of them, especially for (finitely generated faithful) multiplication modules.


Keywords


2-absorbing sub-modules, Weakly 2-absorbing sub-modules, Almost 2-absorbing sub-modules, Almost 2-absorbing primary sub-modules,

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