ON CERTAIN FINITELY PRESENTED ALGEBRAS AND FILTRATIONS

DOI10.1081/AGB-120003474zbMath1011.16032OpenAlexW2090099819MaRDI QIDQ4551086

F. J. Lobillo

Publication date: 25 February 2003

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

Full work available at URL: https://doi.org/10.1081/agb-120003474

zbMATH Keywords

graded algebrasfiltrationsGelfand-Kirillov dimensionfinitely presented algebrasCohen-Macaulay algebrasAuslander conditionnoncommutative Auslander regular algebrasnoncommutive Artin-Schelter regular algebras

Mathematics Subject Classification ID

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Growth rate, Gelfand-Kirillov dimension (16P90) Filtered associative rings; filtrational and graded techniques (16W70)

Cites Work

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• Graded algebras of global dimension 3
• Skew polynomial rings with binomial relations
• Modules over regular algebras of dimension 3
• The diamond lemma for ring theory
• Semigroups of \(I\)-type
• Certaines algèbres de type fini sont des algèbres de Jacobson
• Sur la dimension de gelfand-kirillov
• Gelfand-Kirillov dimension of multi-filtered algebras
• Poincaré Series of Multi-Filtered Algebras and Partitivity

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