Symmetric Auslander and Bass categories

DOI10.1017/S0305004110000629zbMath1216.13008arXiv1001.3066OpenAlexW3102691145MaRDI QIDQ3081467

Kiriko Kato, Peter Jørgensen

Publication date: 8 March 2011

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.3066

zbMATH Keywords

triangulated categoriescomplexes of projective modulesGorenstein projective modulesBass categoriessymmetric Auslander categories

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Syzygies, resolutions, complexes and commutative rings (13D02) Cohen-Macaulay modules (13C14) Derived categories and commutative rings (13D09)

Related Items (4)

A functorial approach to monomorphism categories for species I ⋮ On the Gorenstein defect categories ⋮ GORENSTEIN PROJECTIVE OBJECTS IN FUNCTOR CATEGORIES ⋮ Triangulated subcategories of extensions, stable \(t\)-structures, and triangles of recollements

Cites Work

• On Gorenstein projective, injective and flat dimensions -- a functorial description with applications
• Gorenstein injective and projective modules
• 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
• Ring Homomorphisms and Finite Gorenstein Dimension

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