Depth and amplitude for DG-modules

DOI10.1080/00927872.2019.1710171zbMath1440.13052OpenAlexW3003818181MaRDI QIDQ5107037

Yanping Rao, Xiao Yan Yang

Publication date: 22 April 2020

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2019.1710171

zbMATH Keywords

depthamplitudeKoszul DG-module

Mathematics Subject Classification ID

Resolutions; derived functors (category-theoretic aspects) (18G10) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Torsion theory for commutative rings (13D30)

Cites Work

• Unnamed Item
• Derived functors of \(I\)-adic completion and local homology
• The higher properties of R-sequences
• Homological identities for differential graded algebras.
• Gorenstein dimensions
• Injective DG-modules over non-positive DG-rings
• On the homology of completion and torsion
• Completion and torsion over commutative DG rings
• Amplitude inequalities for Differential Graded modules

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