Nakayama automorphism and applications

DOI10.1090/tran/6718zbMath1396.16004arXiv1408.5761OpenAlexW143427213MaRDI QIDQ2951907

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Publication date: 10 January 2017

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

Full work available at URL: https://arxiv.org/abs/1408.5761

zbMATH Keywords

automorphism groupgroup actionHopf algebra actionNakayama automorphismcancellation problemArtin-Schelter regular algebra

Mathematics Subject Classification ID

Rings arising from noncommutative algebraic geometry (16S38) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Ordinary and skew polynomial rings and semigroup rings (16S36) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Hopf algebras and their applications (16T05)

Related Items (20)

The Nakayama automorphism of a class of graded algebras ⋮ A note on the discriminant of reflection Hopf algebras ⋮ Invariant theory of Artin-Schelter regular algebras: a survey ⋮ Nakayama automorphisms of twisted tensor products ⋮ On quantum groups associated to non-Noetherian regular algebras of dimension 2 ⋮ Nakayama automorphisms of graded Ore extensions of Koszul Artin-Schelter regular algebras ⋮ \(m\)-Koszul Artin-Schelter regular algebras ⋮ Auslander theorem for PI Artin-Schelter regular algebras ⋮ Local cohomology for Gorenstein homologically smooth DG algebras ⋮ On homological smoothness of generalized Weyl algebras over polynomial algebras in two variables ⋮ A Morita Cancellation Problem ⋮ NAKAYAMA AUTOMORPHISMS OF ORE EXTENSIONS OVER POLYNOMIAL ALGEBRAS ⋮ Discriminants and automorphism groups of Veronese subrings of skew polynomial rings ⋮ Nakayama automorphisms of double Ore extensions of Koszul regular algebras ⋮ Nakayama automorphism and rigidity of dual reflection group coactions ⋮ Cancellation problem for AS-regular algebras of dimension three ⋮ Cancellation of Morita and skew types ⋮ Algunos tipos especiales de determinantes en extensiones PBW torcidas graduadas ⋮ Zariski cancellation problem for non-domain noncommutative algebras ⋮ New Artin-Schelter regular and Calabi-Yau algebras via normal extensions

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