Gorenstein‐projective modules over short local algebras

DOI10.1112/jlms.12577arXiv1912.02081OpenAlexW2992923840MaRDI QIDQ6134489

Claus Michael Ringel, Pu Zhang

Publication date: 22 August 2023

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

Full work available at URL: https://arxiv.org/abs/1912.02081

zbMATH Keywords

reflexive modulesGorenstein-projective modulesAuslander-Reiten conjectureshort local algebras

Mathematics Subject Classification ID

Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Cohen-Macaulay modules in associative algebras (16G50) Representations of associative Artinian rings (16G10) Quantum groups (quantized function algebras) and their representations (20G42) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)

Related Items

Monic modules and semi-Gorenstein-projective modules ⋮ The short local algebras of dimension 6 with non-projective reflexive modules ⋮ Separated monic correspondence of cotorsion pairs and semi-Gorenstein-projective modules ⋮ Koszul modules (and the \(\Omega\)-growth of modules) over short local algebras ⋮ Gorenstein-projective and semi-Gorenstein-projective modules. II

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