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On 2-absorbing quasi primary submodules

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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 ? N, then ab ? ?(N :R M) or am ? radM(N) or bm ? radM(N): Various results and examples concerning 2-absorbing quasi primary submodules are given.
Title: On 2-absorbing quasi primary submodules
Description:
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 ? N, then ab ? ?(N :R M) or am ? radM(N) or bm ? radM(N): Various results and examples concerning 2-absorbing quasi primary submodules are given.

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