Auslander-regular and Cohen-Macaulay quantum groups.

DOI10.1023/B:ALGE.0000019384.36800.fazbMath1079.16033arXivmath/0104283OpenAlexW2158987750MaRDI QIDQ1770881

F. J. Lobillo, José Gómez-Torrecillas

Publication date: 7 April 2005

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0104283

zbMATH Keywords

Weyl algebrasquantum groupsCohen-Macaulay algebrasAuslander-regular algebrasquantum affine spacesquantum enveloping algebrasmulti-filtered algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Ordinary and skew polynomial rings and semigroup rings (16S36) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Filtered associative rings; filtrational and graded techniques (16W70)

Related Items (4)

On noncommutative finite factorization domains ⋮ On a class of iterated Ore extensions. ⋮ Basic Module Theory over Non-commutative Rings with Computational Aspects of Operator Algebras ⋮ Catenarity in quantum nilpotent algebras

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