Relative projective dimensions. (Q400810)
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scientific article; zbMATH DE number 6334158
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Relative projective dimensions. |
scientific article; zbMATH DE number 6334158 |
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Relative projective dimensions. (English)
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25 August 2014
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The authors introduce and study two new dimensions of a module. The dimensions are called: \((n,0)\)-projective dimension and right \((n,0)\)-projective dimension. They respectively generalize FP-projective dimension and right FP-projective dimension introduced by \textit{L. Mao} and \textit{N. Ding} [Commun. Algebra 33, No. 4, 1153-1170 (2005; Zbl 1097.16005)]. The importance of \(n\)-coherent rings in studying properties of the introduced dimensions is demonstrated.
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Noetherian rings
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coherent rings
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projective modules
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projective dimension
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\(n\)-presented modules
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