Verdier quotients of homotopy categories of rings and Gorenstein-projective precovers

DOI10.1007/s11425-022-2211-0MaRDI QIDQ6649841

Manuel Cortés-Izurdiaga

Publication date: 6 December 2024

Published in: Science China. Mathematics (Search for Journal in Brave)

zbMATH Keywords

homotopy categorytotally acyclic complexGorenstein-projective

Mathematics Subject Classification ID

Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Syzygies, resolutions, complexes in associative algebras (16E05)

Cites Work

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• Gorenstein projective precovers
• Totally acyclic complexes over noetherian schemes
• Existence of Gorenstein projective resolutions and Tate cohomology
• The homotopy category of flat modules, and Grothendieck duality
• Some adjoints in homotopy categories
• Gorenstein dimensions
• Relative homological algebra
• Singular compactness and definability for \(\Sigma\)-cotorsion and Gorenstein modules
• Gorenstein conditions over triangular matrix rings
• Exact categories
• Triangulated categories
• Ziegler partial morphisms in additive exact categories
• Foundations of relative homological algebra
• Gorenstein categories and Tate cohomology on projective schemes
• All Modules Have Gorenstein Flat Precovers

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