Gorenstein derived functors
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- by Henrik Holm PDF
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Abstract:
Over any associative ring $R$ it is standard to derive $\mathrm {Hom}_R(-,-)$ using projective resolutions in the first variable, or injective resolutions in the second variable, and doing this, one obtains $\mathrm {Ext}_R^n(-,-)$ 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 $-\otimes _R-$ using Gorenstein flat modules.References
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Additional Information
- Henrik Holm
- Affiliation: Matematisk Afdeling, Københavns Universitet, Universitetsparken 5, 2100 København Ø, DK–Danmark
- Email: holm@math.ku.dk
- Received by editor(s): May 14, 2002
- Received by editor(s) in revised form: April 16, 2003
- Published electronically: February 13, 2004
- Communicated by: Bernd Ulrich
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 1913-1923
- MSC (2000): Primary 13D02, 13D05, 13D07, 13H10, 16E05, 16E10, 16E30
- DOI: https://doi.org/10.1090/S0002-9939-04-07317-4
- MathSciNet review: 2053961