Normalizing extensions of the two-Veronese of a three dimensional Artin-Schelter regular algebra on two generators

DOI10.1006/jabr.1997.7210zbMath0924.16018OpenAlexW2065386621MaRDI QIDQ1270375

Michel Van den Bergh, Kristien Bauwens

Publication date: 20 September 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7210

zbMATH Keywords

global dimensionGelfand-Kirillov dimensionArtin-Schelter regular algebrasKoszul algebrasSklyanin algebrasCohen-Macaulay algebrasnormalizing extensions

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Growth rate, Gelfand-Kirillov dimension (16P90) Graded rings and modules (associative rings and algebras) (16W50) Homological dimension in associative algebras (16E10) Centralizing and normalizing extensions (16S20)

Related Items (1)

Quantum projective 3-spaces which embed weighted quantum planes.

Cites Work

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• Sklyanin elliptic algebras
• Twisted homogeneous coordinate rings
• Some algebraic structures connected with the Yang-Baxter equation. Representations of quantum algebras
• Some algebraic structures connected with the Yang-Baxter equation
• Graded algebras of global dimension 3
• Modules over regular algebras of dimension 3
• Dualizing complexes over noncommutative graded algebras
• Noncommutative projective schemes
• Embedding a quantum nonsingular quadric in a quantum \(\mathbb{P}^3\)
• Artin-Schelter regular algebras of global dimension three
• Central extensions of three dimensional Artin-Schelter regular algebras
• The residue complex of a noncommutative graded algebra
• Homological Algebra on a Complete Intersection, with an Application to Group Representations
• Some properties of non-commutative regular graded rings
• Regularity of Algebras Related to the Sklyanin Algebra
• Auslander-Regular Algebras and Maximal Orders
• Conformal S1₂ enveloping algebras
• Algebras associated to elliptic curves
• Modules over the 4-dimensional Sklyanin algebra

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