Semiprime graded algebras of dimension two

DOI10.1006/jabr.1999.8226zbMath0967.16021OpenAlexW2001524566MaRDI QIDQ1977561

J. Toby Stafford, Michael Artin

Publication date: 6 June 2001

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1999.8226

zbMATH Keywords

Gelfand-Kirillov dimensionNoetherian ringsVeronese ringsnoncommutative projective geometrytwisted homogeneous coordinate ringsalgebras of quadratic growthnoncommutative projective curvessemiprime graded algebras

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Rings arising from noncommutative algebraic geometry (16S38) Finite rings and finite-dimensional associative algebras (16P10) Growth rate, Gelfand-Kirillov dimension (16P90) Graded rings and modules (associative rings and algebras) (16W50) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items

Cocycle twists of 4-dimensional Sklyanin algebras, Exotic elliptic algebras, Regular algebras of dimension 4 and their \(A_\infty\)-Ext-algebras., Noncommutative curves and noncommutative surfaces, Noncommutative rational double points, Noetherian hereditary abelian categories satisfying Serre duality, Projectively simple rings., Twisted rings and moduli stacks of ``fat point modules in non-commutative projective geometry

Cites Work

• Prime affine algebras of Gelfand-Kirillov dimension one
• The number of generators of a module over a fully bounded ring
• Noncommutative projective schemes
• Noncommutative graded domains with quadratic growth
• A translation principle for the four-dimensional Sklyanin algebras
• Examples in non-commutative projective geometry
• Affine algebras of Gelfand-Kirillov dimension one are PI
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