JACOBSON RADICAL ALGEBRAS WITH QUADRATIC GROWTH

DOI10.1017/S0017089513000554zbMath1291.16011OpenAlexW2131467871MaRDI QIDQ5397382

Agata Smoktunowicz, Alexander A. Young

Publication date: 20 February 2014

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://journals.cambridge.org/action/displayAbstract?fromPage=online&fileId=S0017089513000554&fulltextType=RA&aid=9029960

zbMATH Keywords

Jacobson radicalGelfand-Kirillov dimensiongrowth functionsradical algebrasfinitely generated algebrasalgebras with quadratic growth

Mathematics Subject Classification ID

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Growth rate, Gelfand-Kirillov dimension (16P90) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Graded rings and modules (associative rings and algebras) (16W50) Jacobson radical, quasimultiplication (16N20)

Related Items (1)

Chains of prime ideals and primitivity of \(\mathbb Z\)-graded algebras.

Cites Work

• Unnamed Item
• Jacobson radical algebras with Gelfand-Kirillov dimension two over countable fields.
• Primitive algebras with arbitrary Gelfand-Kirillov dimension
• Jacobson radical non-nil algebras of Gel'fand-Kirillov dimension 2.
• Branch rings, thinned rings, tree enveloping rings.
• Nil algebras with restricted growth
• An infinite dimensional affine nil algebra with finite Gelfand-Kirillov dimension
• Affine algebras of Gelfand-Kirillov dimension one are PI

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