Abstract
Over any associative ring R it is standard to derive HomR(􀀀;􀀀) using projective resolutions in the rst variable, or injective resolutions in the second variable, and doing this, one obtains Extn R(􀀀;􀀀) in both cases. We examine the situation where projective and injective modules are replaced by Gorenstein projective and Gorenstein injective ones, respectively. Furthermore, we derive the tensor product 􀀀 R 􀀀 using Gorenstein at modules.
| Original language | English |
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| Journal | Proceedings of the American Mathematical Society |
| Volume | 132 |
| Issue number | 7 |
| Pages (from-to) | 1913-1923 |
| ISSN | 0002-9939 |
| Publication status | Published - 2004 |