PBW deformations of Artin–Schelter regular algebras

DOI10.1142/S021949881650064XzbMath1345.16028arXiv1210.0861MaRDI QIDQ2797020

Jason Gaddis

Publication date: 30 March 2016

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.0861

zbMATH Keywords

skew polynomial ringsArtin-Schelter regular algebrasPBW deformations

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Rings arising from noncommutative algebraic geometry (16S38) Ordinary and skew polynomial rings and semigroup rings (16S36) 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 (10)

Nakayama automorphisms of PBW deformations and Hopf actions. ⋮ The isomorphism problem for quantum affine spaces, homogenized quantized Weyl algebras, and quantum matrix algebras ⋮ Homogenized skew PBW extensions ⋮ Some open problems in the context of skew \textit{PBW} extensions and semi-graded rings ⋮ On the discriminant of twisted tensor products ⋮ A unified algebraic underpinning for the Hahn polynomials and rational functions ⋮ Skew Calabi-Yau property of normal extensions ⋮ Cancellation problem for AS-regular algebras of dimension three ⋮ Non-commutative algebraic geometry of semi-graded rings ⋮ Two-Generated Algebras and Standard-Form Congruence

Cites Work

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• Skew Calabi-Yau algebras and homological identities.
• An introduction to homological algebra
• Modules over regular algebras of dimension 3
• Central extensions of three dimensional Artin-Schelter regular algebras

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