On the existence of Gorenstein projective precovers (Q509934)
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scientific article; zbMATH DE number 6684908
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence of Gorenstein projective precovers |
scientific article; zbMATH DE number 6684908 |
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On the existence of Gorenstein projective precovers (English)
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15 February 2017
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Summary: We provide a simple proof for a recent result of \textit{D. Bravo}, \textit{J. Gillespie} and \textit{M. Hovey} [``The stable module category of a general ring'', Preprint, \url{arXiv:1405.5768v1}], showing that over a left coherent ring for which the projective dimension of at right modules is finite, the class of Gorenstein projective right modules is precovering. As an immediate application, we provide a description for the Gorenstein defect category over such rings.
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precovering class
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Gorenstein projective
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Gorenstein flat
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