Local Cohen-Macaulay DG-modules

DOI10.1007/S10485-022-09703-YOpenAlexW4313532676MaRDI QIDQ2111455

Xiao Yan Yang, Yan-Jie Li

Publication date: 16 January 2023

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10485-022-09703-y

zbMATH Keywords

Cohen-Macaulay DG-moduledifferential graded ring

Mathematics Subject Classification ID

Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Differential graded algebras and applications (associative algebraic aspects) (16E45) Cohen-Macaulay modules (13C14)

Cites Work

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• Compact DG modules and Gorenstein DG algebras.
• Injective DG-modules over non-positive DG-rings
• Koszul complexes over Cohen-Macaulay rings
• Homological identities and dualizing complexes of commutative differential graded algebras
• Resolutions and homological dimensions of DG-modules
• Completion and torsion over commutative DG rings
• Smooth flat maps over commutative DG-rings
• Isomorphims between complexes with applications to the homological theory of modules.
• Sequences for complexes
• Recognizing dualizing complexes
• DUALIZING DIFFERENTIAL GRADED MODULES AND GORENSTEIN DIFFERENTIAL GRADED ALGEBRAS
• The Cohen-Macaulay property in derived commutative algebra
• Homological invariants over non-positive DG-rings
• Derived Categories

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