Nakayama automorphisms of PBW deformations and Hopf actions.

DOI10.1007/s11425-015-5077-2zbMath1347.16030arXiv1504.06160OpenAlexW2110522807MaRDI QIDQ294496

Yuan Shen, Di-Ming Lu

Publication date: 16 June 2016

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.06160

zbMATH Keywords

Nakayama automorphismsArtin-Schelter regular algebrasHopf algebra actionsconnected graded affine algebrashomogenizationsPBW deformationsskew Calabi-Yau algebras

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Rings arising from noncommutative algebraic geometry (16S38) Ordinary and skew polynomial rings and semigroup rings (16S36) Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Deformations of associative rings (16S80) Graded rings and modules (associative rings and algebras) (16W50)

Related Items (8)

The Calabi-Yau property of Ore extensions of two-dimensional Artin-Schelter regular algebras and their PBW deformations ⋮ Nakayama automorphisms of graded Ore extensions of Koszul Artin-Schelter regular algebras ⋮ On homological smoothness of generalized Weyl algebras over polynomial algebras in two variables ⋮ NAKAYAMA AUTOMORPHISMS OF ORE EXTENSIONS OVER POLYNOMIAL ALGEBRAS ⋮ Homogenized skew PBW extensions ⋮ Hochschild homology and cohomology of down-up algebras ⋮ Skew Calabi-Yau property of normal extensions ⋮ Algunos tipos especiales de determinantes en extensiones PBW torcidas graduadas

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