The Dixmier-Moeglin equivalence for twisted homogeneous coordinate rings.

DOI10.1007/s11856-010-0111-0zbMath1219.16030arXiv0812.3355OpenAlexW2162566816MaRDI QIDQ616533

Jason P. Bell, Susan J. Sierra, Daniel Rogalski

Publication date: 10 January 2011

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.3355

zbMATH Keywords

graded modulesgraded ringsnoncommutative algebraic geometry

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Rings arising from noncommutative algebraic geometry (16S38) Associative rings of functions, subdirect products, sheaves of rings (16S60) Twisted and skew group rings, crossed products (16S35)

Related Items (16)

Poisson algebras via model theory and differential-algebraic geometry ⋮ INVARIANT HYPERSURFACES ⋮ Algebraic dynamics of skew-linear self-maps ⋮ A conjecture strengthening the Zariski dense orbit problem for birational maps of dynamical degree one ⋮ The Dixmier-Moeglin equivalence for extensions of scalars and Ore extensions ⋮ The Dixmier-Moeglin equivalence for Leavitt path algebras. ⋮ On the importance of being primitive ⋮ The Dixmier-Moeglin equivalence for cocommutative Hopf algebras of finite Gelfand-Kirillov dimension. ⋮ Density of orbits of dominant regular self-maps of semiabelian varieties ⋮ On Annelidan, Distributive, and Bézout Rings ⋮ A strong Dixmier-Moeglin equivalence for quantum Schubert cells ⋮ ℤ-graded simple rings ⋮ Poisson Dixmier-Moeglin equivalence from a topological point of view ⋮ Density of orbits of endomorphisms of abelian varieties ⋮ The Dixmier-Moeglin equivalence, Morita equivalence, and homeomorphism of spectra ⋮ A note on the Dixmier-Moeglin equivalence in Leavitt path algebras of arbitrary graphs over a field

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• GK-dimension of birationally commutative surfaces
• Dynamical properties of plane polynomial automorphisms
• Primitive ideals of algebras
• Prime ideals in Noetherian 𝑃𝐼-rings
• Primitivity of skew polynomial and skew laurent polynomial rings
• Criteria for $\sigma $-ampleness
• A class of noncommutative projective surfaces
• Linear algebraic groups.

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