Zariski cancellation problem for non-domain noncommutative algebras

DOI10.1007/s00209-018-2153-7zbMath1471.16039arXiv1711.08071OpenAlexW2963570970MaRDI QIDQ2312837

James J. Zhang, Yanhua Wang, Oswaldo Lezama

Publication date: 18 July 2019

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.08071

zbMATH Keywords

path algebrasMakar-Limanov invariantZariski cancellation problem

Mathematics Subject Classification ID

Rings arising from noncommutative algebraic geometry (16S38) Chain conditions, growth conditions, and other forms of finiteness for associative rings and algebras (16P99) Filtered associative rings; filtrational and graded techniques (16W70)

Related Items (13)

A note on the discriminant of reflection Hopf algebras ⋮ Cancellation and skew cancellation for Poisson algebras ⋮ Growth of generalized Weyl algebras over polynomial algebras and Laurent polynomial algebras ⋮ A Morita Cancellation Problem ⋮ Center of skew PBW extensions ⋮ Some open problems in the context of skew \textit{PBW} extensions and semi-graded rings ⋮ The Zariski cancellation problem for Poisson algebras ⋮ Noncommutative analogues of a cancellation theorem of Abhyankar, Eakin, and Heinzer ⋮ Cancellation problem for AS-regular algebras of dimension three ⋮ Cancellation of Morita and skew types ⋮ Reflexive hull discriminants and applications ⋮ Hochschild cohomology related to graded down-up algebras with weights (1,n) ⋮ Isomorphisms of graded path algebras

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