Global homological dimension of multifiltered rings and quantized enveloping algebras

DOI10.1006/jabr.1999.8101zbMath0945.16011OpenAlexW2132395169MaRDI QIDQ1972411

F. J. Lobillo, José Gómez-Torrecillas

Publication date: 5 July 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.8101

zbMATH Keywords

quantum groupsgraded modulesgraded ringsKrull dimensionsprojective dimensionsflat dimensionsmultifiltered rings

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Graded rings and modules (associative rings and algebras) (16W50) Homological dimension in associative algebras (16E10) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Filtered associative rings; filtrational and graded techniques (16W70)

Related Items (3)

REGULARITY CRITERION AND CLASSIFICATION FOR ALGEBRAS OF JORDAN TYPE ⋮ HOMOGENEOUS PBW DEFORMATION FOR ARTIN–SCHELTER REGULAR ALGEBRAS ⋮ A generalization of Castelnuovo-Mumford regularity for representations of noncommutative algebras.

Cites Work

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• Quantum groups at roots of 1
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• A note on filtered rings
• Ideals in universal enveloping algebras of solvable lie algebras
• Quantum deformations of GL_n
• Gelfand-Kirillov dimension of multi-filtered algebras
• PBW-bases of quantum groups.

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