Graded generalized 2-absorbing submodules (Q2051358)
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scientific article; zbMATH DE number 7432854
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Graded generalized 2-absorbing submodules |
scientific article; zbMATH DE number 7432854 |
Statements
Graded generalized 2-absorbing submodules (English)
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24 November 2021
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Generalized 2-absorbing submodules of a module over a commutative ring were introduced by \textit{F. Farshadifar} and \textit{H. Ansari-Toroghy} [An. Ştiinţ. Univ. ``Ovidius'' Constanţa, Ser. Mat. 28, No. 1, 99--109 (2020; Zbl 1488.13034)]. In this paper, the authors consider the graded version. Several properties of this class of submodules are obtained. It is shown that for a graded multiplication module \(M\), every graded 2-absorbing \(R\)-submodule of \(M\) is grade 2-absorbing primary. Transfer of this property by graded morphism of modules is investigated.
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graded 2-absorbing submodules
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graded 2-absorbing primary submodules
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graded prime submodules
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