Cohomology of torsion and completion of N-complexes

DOI10.4134/JKMS.j210349zbMath1483.13030arXiv2006.12693MaRDI QIDQ5066188

Pengju Ma, Xiao Yan Yang

Publication date: 29 March 2022

Full work available at URL: https://arxiv.org/abs/2006.12693

zbMATH Keywords

torsioncompletionKoszul \(N\)-complextelescope \(N\)-complex

Mathematics Subject Classification ID

Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Completion of commutative rings (13B35) Torsion theory for commutative rings (13D30)

Cites Work

• Unnamed Item
• Homotopy category of \(N\)-complexes of projective modules
• Derived functors of \(I\)-adic completion and local homology
• The higher properties of R-sequences
• \(d^N=0\): Generalized homology
• Homological constructions on \(N\)-complexes
• On the homology of completion and torsion
• The homotopy category of \(N\)-complexes is a homotopy category
• The homotopy category and derived category of \(N\)-complexes
• A new homology theory. I, II
• Complete modules and torsion modules
• Local homology and cohomology on schemes
• Proregular sequences, local cohomology, and completion
• Derived categories of N-complexes
• Gorenstein model structures and generalized derived categories
• Monomial Algebras over Infinite Quivers. Applications toN-Complexes of Modules
• The existence of homotopy resolutions of \(N\)-complexes

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