A NONCOMMUTATIVE GENERALIZATION OF AUSLANDER'S LAST THEOREM
We show that every finitely generated left R-module in the Auslander class over an n-perfect ring R having a dualizing module and admitting a Matlis dualizing module has a Gorenstein projective cover.
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| Veröffentlicht in: | International Journal of Mathematics and Mathematical Sciences 2005-01, Vol.2005 (9), p.1473-1480-114 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We show that every finitely generated left R-module in the Auslander class over an n-perfect ring R having a dualizing module and admitting a Matlis dualizing module has a Gorenstein projective cover. |
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| ISSN: | 0161-1712 1687-0425 |
| DOI: | 10.1155/IJMMS.2005.1473 |