Non-commutative algebraic geometry of semi-graded rings

DOI10.1142/S0218196717500199zbMath1382.16024arXiv1605.09057OpenAlexW2964096948MaRDI QIDQ4978455

Edward Latorre, Oswaldo Lezama

Publication date: 10 August 2017

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.09057

zbMATH Keywords

Gelfand-Kirillov dimensionnon-commutative algebraic geometrygraded rings and modulesnon-commutative schemesskew \textit{PBW} extensionsHilbert series and Hilbert polynomial

Mathematics Subject Classification ID

Rings arising from noncommutative algebraic geometry (16S38) Ordinary and skew polynomial rings and semigroup rings (16S36) Deformations of associative rings (16S80) Graded rings and modules (associative rings and algebras) (16W50)

Related Items (11)

On NI and NJ skew PBW extensions ⋮ Gelfand-Kirillov dimension for rings ⋮ Unnamed Item ⋮ Homogenized skew PBW extensions ⋮ Associated prime ideals over skew PBW extensions ⋮ Skew Poincaré–Birkhoff–Witt extensions over weak compatible rings ⋮ Some open problems in the context of skew \textit{PBW} extensions and semi-graded rings ⋮ Some remarks about minimal prime ideals of skew Poincaré-Birkhoff-Witt extensions ⋮ The McCoy condition on skew Poincaré-Birkhoff-Witt extensions ⋮ Computation of point modules of finitely semi-graded rings ⋮ Double Ore extensions versus graded skew PBW extensions

Cites Work

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• \(d\)-Hermite rings and skew \(PBW\) extensions
• Serre injective sheaves
• Noncommutative projective schemes
• Towards a more general notion of Gelfand-Kirillov dimension
• Non-commutative projective Calabi-Yau schemes
• Sur quelques points d'algèbre homologique
• PBW deformations of Artin–Schelter regular algebras
• Projective modules and Gröbner bases for skew PBW extensions
• ORE AND GOLDIE THEOREMS FOR SKEW PBW EXTENSIONS
• Some Homological Properties of SkewPBWExtensions
• Des catégories abéliennes

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