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Gorenstein injective covers and envelopes over noetherian rings
We prove that if R We also prove that over such a ring the class of Gorenstein injective modules is enveloping. In particular this shows the existence of the Gorenstein injective envelopes over commutative Noetherian rings with dualizing complexes.
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| Published in: | Proceedings of the American Mathematical Society 2015-01, Vol.143 (1), p.5-12 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Citations: | Items that cite this one |
| Online Access: | Get full text |
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| Summary: | We prove that if R We also prove that over such a ring the class of Gorenstein injective modules is enveloping. In particular this shows the existence of the Gorenstein injective envelopes over commutative Noetherian rings with dualizing complexes. |
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| ISSN: | 0002-9939 1088-6826 |
| DOI: | 10.1090/S0002-9939-2014-12232-5 |