THE GORENSTEIN DEFECT CATEGORY

DOI10.1093/qmath/hav001zbMath1327.13041arXiv1202.2876OpenAlexW2149827203MaRDI QIDQ5257978

Petter Andreas Bergh, Steffen Oppermann, David A. Jorgensen

Publication date: 25 June 2015

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.2876

zbMATH Keywords

finitely generated modulesGorenstein ringprojective dimensiontriangulated categoriesinjective dimensionNoetherian local ringsacyclic complexGorenstein defect categorytriangle functorVerdier quotientArtin ringshomotopy category of complexesbrutal truncation at degree zero

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Projective and free modules and ideals in commutative rings (13C10) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)

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