Auslander-Gorenstein algebras from Serre-formal algebras via replication

DOI10.1016/j.aim.2019.01.010zbMath1472.16008arXiv1707.03996OpenAlexW2963744756WikidataQ128563903 ScholiaQ128563903MaRDI QIDQ1721942

Osamu Iyama, René Marczinzik, Aaron C. S. Chan

Publication date: 13 February 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.03996

zbMATH Keywords

dominant dimensionGorenstein dimensionrepresentation theory of finite dimensional algebras

Mathematics Subject Classification ID

Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Representations of associative Artinian rings (16G10) Homological dimension in associative algebras (16E10)

Related Items (8)

On minimal Auslander-Gorenstein algebras and standardly stratified algebras ⋮ \(n\)-cluster tilting subcategories for radical square zero algebras ⋮ On the classification of higher Auslander algebras for Nakayama algebras ⋮ Existence of a 2-cluster tilting module does not imply finite complexity ⋮ Linear Nakayama algebras which are higher Auslander algebras ⋮ Upper bounds for the dominant dimension of Nakayama and related algebras ⋮ Some homological properties of category \(\mathcal{O}\). VI ⋮ Distributive lattices and Auslander regular algebras

Uses Software

• QPA

Cites Work

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