On Weakly S-2-Absorbing Submodules

Sudharshana, Govindarajulu Narayanan

doi:10.28924/2291-8639-21-2023-48

Research Article

On Weakly S-2-Absorbing Submodules

Govindarajulu Narayanan Sudharshana

Abstract

Let R be a commutative ring with identity and let M be a unitary R-module. In this paper, we introduce the notion of weakly S-2-absorbing submodule. Suppose that S is a multiplicatively closed subset of R. A submodule P of M with (P:_R M)∩S=∅ is said to be a weakly S-2-absorbing submodule if there exists an element s ∈ S such that whenever a,b∈R and m∈M with 0≠abm∈P, then sab∈(P: M) or sam∈P or sbm∈P. We give the characterizations, properties and examples of weakly S-2-absorbing submodules.

How to Cite

G. N. Sudharshana, On Weakly S-2-Absorbing Submodules, Int. J. Anal. Appl. 21 (2023), 48. https://doi.org/10.28924/2291-8639-21-2023-48

BibTeX

@article{Sudharshana2023,
  author  = {Sudharshana, Govindarajulu Narayanan},
  title   = {On Weakly S-2-Absorbing Submodules},
  journal = {Int. J. Anal. Appl.},
  volume  = {21},
  year    = {2023},
  pages   = {48},
  doi     = {10.28924/2291-8639-21-2023-48}
}

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