2-Irreducible and Strongly 2-Irreducible Submodules of a Module

Author(s):

F. Farshadifar* , H. Ansari-Toroghy

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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:

Irreducible ideal , Strongly 2-irreducible ideal , 2-irreducible submodule , Strongly 2-irreducible submodule

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:18 Issue: 2, Nov 2023
Pages:
139 to 151
https://www.magiran.com/p2630324