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On weakly \(f\)-clean rings - MaRDI portal

On weakly \(f\)-clean rings (Q6558351)

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scientific article; zbMATH DE number 7867923
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English
On weakly \(f\)-clean rings
scientific article; zbMATH DE number 7867923

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    On weakly \(f\)-clean rings (English)
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    19 June 2024
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    In the paper under review, the author introduces the notion of a \textit{weakly \(f\)-clean ring} as a common non-trivial generalization of the concepts of weakly clean rings and \(f\)-clean rings. Many characteristic properties of this new sort of rings are investigated as the main results are stated and proved in Propositions 2.12, Theorems 2.16, 2.17 and 2.23, respectively.\N\NThe paper ends with two open questions, namely Problems 2.24 and 2.25, which could stimulate a further study of the explored subject.\N\NOne of the references is listed twice (see [7] and [8]).
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    weakly clean ring
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    \(f\)-clean ring
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    weakly \(f\)-clean ring
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