The automorphism groups for a family of generalized Weyl algebras

DOI10.1142/S0219498818501426zbMath1414.16035arXiv1610.04535MaRDI QIDQ3177306

Xin Tang

Publication date: 31 July 2018

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

Full work available at URL: https://arxiv.org/abs/1610.04535

zbMATH Keywords

generalized Weyl algebraspolynomial extensionsalgebra automorphisms/endomorphismsisomorphism classificationquantum Dixmier conjecture

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) (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) Automorphisms and endomorphisms (16W20) Derivations, actions of Lie algebras (16W25) Ring-theoretic aspects of quantum groups (16T20)

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A Morita Cancellation Problem ⋮ Classification of twisted generalized Weyl algebras over polynomial rings ⋮ Cancellation problem for AS-regular algebras of dimension three ⋮ Cancellation of Morita and skew types ⋮ Zariski cancellation problem for non-domain noncommutative algebras

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