Some open problems in the context of skew \textit{PBW} extensions and semi-graded rings
DOI10.1007/s40304-021-00238-7zbMath1490.16060arXiv1908.04880OpenAlexW3187591715MaRDI QIDQ2231575
Publication date: 30 September 2021
Published in: Communications in Mathematics and Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.04880
Gelfand-Kirillov conjectureArtin-Schelter regular algebrasSerre's conjectureZariski cancellation problemsemi-graded ringsskew \textit{PBW} extensions
Rings arising from noncommutative algebraic geometry (16S38) Ordinary and skew polynomial rings and semigroup rings (16S36) Free, projective, and flat modules and ideals in associative algebras (16D40) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Deformations of associative rings (16S80) Syzygies, resolutions, complexes in associative algebras (16E05) Computational aspects of associative rings (general theory) (16Z05) Ore rings, multiplicative sets, Ore localization (16U20) Filtered associative rings; filtrational and graded techniques (16W70)
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