Gorenstein homological dimensions and some duality results
DOI10.1142/S1793557117500486zbMath1388.13040OpenAlexW2527801631MaRDI QIDQ5370755
Fatemeh Mohammadi Aghjeh Mashhad
Publication date: 20 October 2017
Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793557117500486
totally reflexive modulesG-dimensionGorenstein injective dimensionlocal dualitygeneralized local cohomology modulesAuslander categoriesFoxby equivalencenormalized dualizing complexes
Homological dimension and commutative rings (13D05) Local cohomology and commutative rings (13D45) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)
Cites Work
- Unnamed Item
- On Gorenstein projective, injective and flat dimensions -- a functorial description with applications
- On the generalized local cohomology and its duality
- Bounded complexes of flat modules
- Generalized section functors
- Duality and vanishing of generalized local cohomology
- Gorenstein dimensions
- Relative homological algebra
- Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
- Ascent Properties of Auslander Categories
- Finitely Generated Modules of Finite Injective Dimension Over Certain Cohen-Macaulay Rings†
This page was built for publication: Gorenstein homological dimensions and some duality results