Rigidity of Ext and Tor via flat–cotorsion theory

DOI10.1017/s0013091523000573arXiv2112.00103OpenAlexW3217475618MaRDI QIDQ6180592

Lars Winther Christensen, Peder Thompson, Luigi Ferraro

Publication date: 22 December 2023

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.00103

zbMATH Keywords

TorcolocalizationrigidityExtinjective dimensionflat dimension

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)

Cites Work

• Unnamed Item
• The direct limit closure of perfect complexes
• Homological dimensions of unbounded complexes
• On the homology of completion and torsion
• Pure-minimal chain complexes
• Minimal semi-flat-cotorsion replacements and cosupport
• Tests for injectivity of modules over commutative rings
• Homological dimensions and regular rings
• Local homology and cohomology on schemes
• Completion, Čech and Local Homology and Cohomology
• Minimal complexes of cotorsion flat modules
• Rigidity of Ext and Tor with Coefficients in Residue Fields of a Commutative Noetherian Ring
• The flat model structure on 𝐂𝐡(𝐑)
• Colocalizing subcategories and cosupport
• Injective Dimension in Noetherian Rings

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