Cancellation problem for AS-regular algebras of dimension three

DOI10.2140/pjm.2021.312.233zbMath1496.16023arXiv1904.07281OpenAlexW3195101135MaRDI QIDQ2046748

Yanyan Li

Publication date: 19 August 2021

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.07281

zbMATH Keywords

finite global dimensionZariski cancellation problemArtin-Schelter regular algebraMorita cancellation problem

Mathematics Subject Classification ID

Chain conditions, growth conditions, and other forms of finiteness for associative rings and algebras (16P99) Homological dimension in associative algebras (16E10)

Related Items

Cancellation and skew cancellation for Poisson algebras ⋮ Some open problems in the context of skew \textit{PBW} extensions and semi-graded rings ⋮ Cancellation of Morita and skew types

Cites Work

• Unnamed Item
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• Stable categories of graded maximal Cohen-Macaulay modules over noncommutative quotient singularities
• Discriminant formulas and applications
• A survey on Zariski cancellation problem
• On Zariski's cancellation problem in positive characteristic
• The discriminant controls automorphism groups of noncommutative algebras.
• On the discriminant of twisted tensor products
• Regular algebras of dimension 4 and their \(A_\infty\)-Ext-algebras.
• The discriminant criterion and automorphism groups of quantized algebras.
• Graded algebras of global dimension 3
• On affine-ruled rational surfaces
• On Zariski problem
• Affine surfaces containing cylinderlike open sets
• Homological dimension of skew group rings and crossed products
• On the field of fractions of certain quantum algebras
• Noncommutative projective schemes
• Azumaya loci and discriminant ideals of PI algebras
• Quantized Weyl algebras at roots of unity
• Noncommutative discriminants via Poisson primes
• Discriminants and automorphism groups of Veronese subrings of skew polynomial rings
• Generic flatness for strongly Noetherian algebras
• Noncommutative analogues of a cancellation theorem of Abhyankar, Eakin, and Heinzer
• Discriminants of Taft algebra smash products and applications
• Zariski cancellation problem for non-domain noncommutative algebras
• Zariski cancellation problem for noncommutative algebras
• On the cancellation problem for the affine space \(\mathbb{A}^{3}\) in characteristic \(p\)
• Graded maximal Cohen-Macaulay modules over noncommutative graded Gorenstein isolated singularities.
• Isomorphic polynomial rings
• On the uniqueness of the coefficient ring in a polynomial ring
• The isomorphism problem for quantum affine spaces, homogenized quantized Weyl algebras, and quantum matrix algebras
• Ample group action on AS-regular algebras and noncommutative graded isolated singularities
• PBW deformations of Artin–Schelter regular algebras
• Nakayama automorphism and applications
• The automorphism groups for a family of generalized Weyl algebras
• An isomorphism lemma for graded rings
• Algebras in which every subalgebra is noetherian
• The Zariski cancellation problem for Poisson algebras
• Some properties of non-commutative regular graded rings
• Auslander-Regular Algebras and Maximal Orders
• Growth of graded noetherian rings
• A remark on Gelfand-Kirillov dimension
• Auslander’s Theorem for permutation actions on noncommutative algebras
• Discriminants of noncommutative algebras and their applications
• A Morita Cancellation Problem
• Noncommutative cyclic isolated singularities
• Automorphisms for Some Symmetric Multiparameter Quantized Weyl Algebras and Their Localizations
• ISOMORPHISMS BETWEEN QUANTUM GENERALIZED WEYL ALGEBRAS
• Isomorphic Polynomial Rings
• Nonuniqueness of Coefficient Rings in a Polynomial Ring

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