The Gel'fand-Kirillov dimension of relatively free prime algebras of arbitrary signature

DOI10.1070/RM2003V058N04ABEH000645zbMATH Open1078.16507OpenAlexW2024009724MaRDI QIDQ4829631

A. Belov-Kanel

Publication date: 29 November 2004

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm2003v058n04abeh000645

zbMATH Keywords

varietiesGelfand-Kirillov dimensioncomplexitiesrelatively free algebrassemidirect products of matrix algebras

Mathematics Subject Classification ID

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Growth rate, Gelfand-Kirillov dimension (16P90) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

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GK dimension of the relatively free algebra for \(sl_2\) ⋮ A dichotomy result for prime algebras of Gelfand-Kirillov dimension two.

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