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

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Farshadifar f.; Ansari Toroghy h.

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Journal Paper

Paper Information

Journal: Iranian Journal of Mathematical Sciences and Informatics Year:2023 | Volume:18 | Issue:2 Page(s): 139-151

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Information Journal Paper

Title

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

Author(s)

Farshadifar f. | Ansari Toroghy h. | Issue Writer Certificate

Keywords

Irreducible idealQ4

Strongly 2-irreducible idealQ4

2-irreducible submoduleQ4

Strongly 2-irreducible submoduleQ4

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.

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