Global dimension 4 extensions of Artin-Schelter regular algebras

DOI10.1006/jabr.1999.7902zbMath0942.16050OpenAlexW2004476048MaRDI QIDQ1806100

Thomas Cassidy

Publication date: 4 June 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.7902

zbMATH Keywords

graded algebrascentral extensionsglobal dimensionArtin-Schelter regular algebrasnormal extensionsGK-dimension

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Graded rings and modules (associative rings and algebras) (16W50) Homological dimension in associative algebras (16E10) Centralizing and normalizing extensions (16S20)

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Cites Work

• Unnamed Item
• Unnamed Item
• Graded algebras of global dimension 3
• Modules over regular algebras of dimension 3
• Artin-Schelter regular algebras of global dimension three
• Central extensions of three dimensional Artin-Schelter regular algebras
• Some properties of non-commutative regular graded rings
• Algebras associated to elliptic curves
• Growth of graded noetherian rings
• Twisted Graded Algebras and Equivalences of Graded Categories