On 2-Absorbing Primary Submodules of Modules over Commutative Rings

@article{Mostafanasab2015On2P,
  title={On 2-Absorbing Primary Submodules of Modules over Commutative Rings},
  author={Hojjat Mostafanasab and Ece Yetkin and {\"U}nsal Tekir and Ahmad Yousefian Darani},
  journal={Analele Universitatii "Ovidius" Constanta - Seria Matematica},
  year={2015},
  volume={24},
  pages={335 - 351}
}
Abstract All rings are commutative with 1 ≠ 0, and all modules are unital. The purpose of this paper is to investigate the concept of 2-absorbing primary submodules generalizing 2-absorbing primary ideals of rings. Let M be an R-module. A proper submodule N of an R-module M is called a 2-absorbing primary submodule of M if whenever a; b ∈ R and m ∈ M and abm ∈ N, then am ∈ M-rad(N) or bm ∈ M-rad(N) or ab ∈(N :R M). It is shown that a proper submodule N of M is a 2-absorbing primary submodule if… 
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2-irreducible and strongly 2-irreducible ideals of commutative rings
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