Auslander's theorem and \(n\)-isolated singularities

DOI10.1216/jca.2023.15.115zbMath1530.16014arXiv2101.08294WikidataQ122181944 ScholiaQ122181944MaRDI QIDQ6170626

Josh Stangle

Publication date: 10 August 2023

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.08294

zbMATH Keywords

path algebrasisolated singularityGorenstein projectiverepresentation finitefinite CM-type

Mathematics Subject Classification ID

Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Representations of quivers and partially ordered sets (16G20) Syzygies, resolutions, complexes and commutative rings (13D02) Homological conjectures (intersection theorems) in commutative ring theory (13D22)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Maximal modifications and Auslander-Reiten duality for non-isolated singularities
• Higher-dimensional Auslander-Reiten theory on maximal orthogonal subcategories.
• Local rings of finite Cohen-Macaulay type
• \(k\)-Gorenstein algebras and syzygy modules
• Ascent of finite Cohen-Macaulay type
• Applications of contravariantly finite subcategories
• Two theorems about maximal Cohen-Macaulay modules
• Relative homological algebra
• Note on direct summands of modules
• Injective dimension of semi-primary rings
• Towards a theory of Bass numbers with application to Gorenstein algebras
• Finite Modules of Finite Injective Dimension Over a Noetherian Algebra
• Homological Dimension in Local Rings
• Stable module theory

This page was built for publication: Auslander's theorem and \(n\)-isolated singularities