Pertinency of Hopf actions and quotient categories of Cohen-Macaulay algebras

DOI10.4171/JNCG/336zbMath1422.16004arXiv1603.02346WikidataQ127465619 ScholiaQ127465619MaRDI QIDQ2327775

James J. Zhang, Yan-Hong Bao, Ji-Wei He

Publication date: 15 October 2019

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.02346

zbMATH Keywords

quotient categoryCohen-Macaulay propertyHopf algebra actionArtin-Schelter regular algebrapertinencyAuslander theorem

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Homological dimension in associative algebras (16E10) Derived categories and associative algebras (16E35)

Related Items

Auslander’s theorem for dihedral actions on preprojective algebras of type A ⋮ Preresolutions of noncommutative isolated singularities ⋮ Some invariant subalgebras are graded isolated singularities ⋮ Local cohomology associated to the radical of a group action on a Noetherian algebra ⋮ Auslander theorem for PI Artin-Schelter regular algebras ⋮ Actions of small groups on two-dimensional Artin-Schelter regular algebras ⋮ Superpotentials and quiver algebras for semisimple Hopf actions ⋮ Noncommutative cyclic isolated singularities ⋮ Auslander's theorem for group coactions on Noetherian graded down-up algebras ⋮ Hopf actions of some quantum groups on path algebras ⋮ Frobenius-Perron theory of endofunctors ⋮ Noncommutative Auslander theorem ⋮ Noncommutative quasi-resolutions ⋮ Fixed rings of generalized Weyl algebras ⋮ Degree bounds for Hopf actions on Artin-Schelter regular algebras

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