A Class of Auslander-Regular Macaulay Rings

DOI10.1081/AGB-120024873zbMath1052.16011OpenAlexW2079384579MaRDI QIDQ4435177

Wolfgang Rump

Publication date: 26 November 2003

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

Full work available at URL: https://doi.org/10.1081/agb-120024873

zbMATH Keywords

Auslander-regular ringsenveloping algebrashomological dimensionsAuslander-Gorenstein ringsweakly regular ringsweakly Gorenstein ringsMacaulay rings

Mathematics Subject Classification ID

Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Homological dimension in associative algebras (16E10) Universal enveloping algebras of Lie algebras (16S30) Noetherian rings and modules (associative rings and algebras) (16P40)

Cites Work

• Unnamed Item
• Unnamed Item
• Localization and ideal theory in Noetherian strongly group-graded rings
• Graded algebras of global dimension 3
• Modules over regular algebras of dimension 3
• Artin-Schelter regular algebras of global dimension three
• Some properties of non-commutative regular graded rings
• Algebras associated to elliptic curves
• Homological Properties of Fully Bounded Noetherian Rings
• Localisation in Enveloping Rings
• Non-commutative Cohen-Macaulay rings
• Non-commutative regular rings