Partial Serre duality and cocompact objects

DOI10.1007/s00029-023-00852-zarXiv2104.12498OpenAlexW3157663272MaRDI QIDQ6132654

Torkil Stai, Chrysostomos Psaroudakis, Steffen Oppermann

Publication date: 14 July 2023

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.12498

zbMATH Keywords

Brown representabilityGorenstein projective modulepure resolutionsingularity categoryalmost split trianglecocompact objectcocompactly cogenerated triangulated categoryhomotopy category of injectives and of projectivespartial Serre functor

Mathematics Subject Classification ID

Torsion theories, radicals (18E40) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Cohen-Macaulay modules in associative algebras (16G50) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Derived categories and associative algebras (16E35) Derived categories, triangulated categories (18G80)

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