REFLEXIVITY AND CONNECTEDNESS

DOI10.1017/S0017089514000354zbMath1408.13039arXiv1212.0131OpenAlexW2964221087MaRDI QIDQ2940239

Sean K. Sather-Wagstaff

Publication date: 26 January 2015

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.0131

zbMATH Keywords

Bass classsemidualizing moduleAuslander classsemidualizing complex

Mathematics Subject Classification ID

Integral domains (13G05) Syzygies, resolutions, complexes and commutative rings (13D02) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Derived categories and commutative rings (13D09)

Cites Work

• Unnamed Item
• Relations between semidualizing complexes
• The set of semidualizing complexes is a nontrivial metric space
• Complete intersection dimensions and Foxby classes
• Reflexivity and rigidity for complexes, I: Commutative rings
• 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
• Semi-dualizing complexes and their Auslander categories
• Gorenstein Modules and Related Modules.
• Reflexivity and Ring Homomorphisms of Finite Flat Dimension
• Bass Numbers and Semidualizing Complexes
• Ring Homomorphisms and Finite Gorenstein Dimension
• G-Dimension.
• Foxby duality and Gorenstein injective and projective modules