Stable categories of spherical modules and torsionfree modules

DOI10.1090/proc/16365arXiv2204.04398OpenAlexW4367842049MaRDI QIDQ6106033

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Publication date: 27 June 2023

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

Full work available at URL: https://arxiv.org/abs/2204.04398

zbMATH Keywords

gradeGorenstein ringregular ringlocal cohomologytotally reflexive modulestable category\(n\)-torsionfree module\(n\)-spherical module

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Module categories and commutative rings (13C60)

Cites Work

• When are \(n\)-syzygy modules \(n\)-torsionfree?
• Higher-dimensional Auslander-Reiten theory on maximal orthogonal subcategories.
• Symmetry and duality on \(n\)-Gorenstein rings.
• On the subcategories of \(n\)-torsionfree modules and related modules
• Syzygy modules for quasi \(k\)-Gorenstein rings.
• Stable module theory
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