Some open problems in the context of skew \textit{PBW} extensions and semi-graded rings

DOI10.1007/s40304-021-00238-7zbMath1490.16060arXiv1908.04880OpenAlexW3187591715MaRDI QIDQ2231575

Oswaldo Lezama

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

zbMATH Keywords

Gelfand-Kirillov conjectureArtin-Schelter regular algebrasSerre's conjectureZariski cancellation problemsemi-graded ringsskew \textit{PBW} extensions

Mathematics Subject Classification ID

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)

Related Items (3)

\(\Sigma\)-semicommutative rings and their skew PBW extensions ⋮ Homogenized skew PBW extensions ⋮ Computation of point modules of finitely semi-graded rings

Uses Software

• SPBWE.lib

Cites Work

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