2-irreducible and strongly 2-irreducible submodules of a module. (English) Zbl 1540.13025
Summary: 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.
MSC:
| 13C13 | Other special types of modules and ideals in commutative rings |
Keywords:
irreducible ideal; strongly 2-irreducible ideal; 2-irreducible submodule; strongly 2-irreducible submoduleReferences:
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| [22] | [ DOI: 10. · Zbl 1540.13025 · doi:10.61186/ijmsi.18.2.139 |
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