Geometric idealizer rings

DOI10.1090/S0002-9947-2010-05110-4zbMath1227.16021arXiv0809.3971OpenAlexW1994940556MaRDI QIDQ3082364

Susan J. Sierra

Publication date: 10 March 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.3971

zbMATH Keywords

idealizersprojective varietiesnon-commutative algebraic geometryclosed subschemeshomogeneous coordinate ringsNoetherian subrings

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Rings arising from noncommutative algebraic geometry (16S38) Group actions on varieties or schemes (quotients) (14L30) Graded rings and modules (associative rings and algebras) (16W50) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (4)

Generalised Witt algebras and idealizers ⋮ The universal enveloping algebra of the Witt algebra is not Noetherian ⋮ Idealisers in skew group rings ⋮ Some projective surfaces of GK-dimension 4

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Twisted homogeneous coordinate rings
• A general homological Kleiman-Bertini theorem
• Dualizing complexes over noncommutative graded algebras
• Noncommutative projective schemes
• Existence theorems for dualizing complexes over non-commutative graded and filtered rings
• Noncommutative ampleness for multiple divisors
• Naïve noncommutative blowing up
• On a problem of Zariski on dimensions of linear systems
• Generic noncommutative surfaces.
• Idealizer rings and noncommutative projective geometry
• A translation principle for the four-dimensional Sklyanin algebras
• Generic flatness for strongly Noetherian algebras
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
• Idealizers and hereditary Noetherian prime rings
• Sur quelques points d'algèbre homologique
• Noncommutative curves and noncommutative surfaces
• The Dynamical Mordell–Lang Conjecture
• On the Ideals of a Noetherian Ring
• Examples in non-commutative projective geometry
• Serre duality for noncommutative projective schemes
• Criteria for $\sigma $-ampleness
• A class of noncommutative projective surfaces
• A Kleiman–Bertini theorem for sheaf tensor products
• Des catégories abéliennes
• Abstract Hilbert schemes. I

This page was built for publication: Geometric idealizer rings