Title of article :
2-Irreducible and Strongly 2-Irreducible Submodules of a Module
Author/Authors :
Farshadifar ، F. Department of Mathematics Education - Farhangian University , Ansari-Toroghy ، H. Department of Pure Mathematics - Faculty of Mathematical Sciences - University of Guilan
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
Journal title :
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
Journal title :
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
