Re-filtering and exactness of the Gelfand-Kirillov dimension

DOI10.1016/S0007-4497(01)01090-9zbMath1006.16023OpenAlexW2117892406MaRDI QIDQ5956298

José Gómez-Torrecillas, F. J. Lobillo, José L. Bueso

Publication date: 24 July 2002

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0007-4497(01)01090-9

zbMATH Keywords

growthquantum groupsGelfand-Kirillov dimensionexactnessfiltered algebrasfinitely partitive algebrasmulti-filtrationssemi-commutative algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Growth rate, Gelfand-Kirillov dimension (16P90) Twisted and skew group rings, crossed products (16S35) Filtered associative rings; filtrational and graded techniques (16W70)

Related Items (7)

Comprehensive Gröbner systems in PBW algebras, Bernstein-Sato ideals and holonomic \(D\)-modules ⋮ A factorization algorithm for \(G\)-algebras and its applications ⋮ Modular techniques for noncommutative Gröbner bases ⋮ On noncommutative finite factorization domains ⋮ Basic Module Theory over Non-commutative Rings with Computational Aspects of Operator Algebras ⋮ Prime and primitive ideals of a class of iterated skew polynomial rings ⋮ Elimination orderings and localization in PBW algebras.

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