On 2-Absorbing Quasi Primary Submodules


Suat Koc, Rabia Nagehan Uregen, Unsal Tekir




Let R be a commutative ring with nonzero identity, and let M be a nonzero unital R-module. In this article, we introduce the concept of 2-absorbing quasi primary submodules which is a generalization of prime submodules. We define 2-absorbing quasi primary submodule as a proper submodule N of M having the property that abm 2 N, then ab 2 p (N :R M) or am 2 radM(N) or bm 2 radM(N): Various results and examples concerning 2-absorbing quasi primary submodules are given.