English

2-irreducible and strongly 2-irreducible submodules of a module

Commutative Algebra 2019-05-27 v1

Abstract

Let R be a commutative ring with identity and M be an R-module. In this paper, we will introduce the concept of 2-irreducible (resp., strongly 2- irreducible) submodules of M as a generalization of irreducible (resp., strongly irreducible) submodules of M and investigated some properties of these classes of modules.

Keywords

Cite

@article{arxiv.1905.10275,
  title  = {2-irreducible and strongly 2-irreducible submodules of a module},
  author = {Faranak Farshadifar and Habibollah Ansari-Toroghy},
  journal= {arXiv preprint arXiv:1905.10275},
  year   = {2019}
}