Jacobson radical algebras with Gelfand-Kirillov dimension two over countable fields.

DOI10.1016/j.jpaa.2006.08.003zbMath1126.16012OpenAlexW2036451167MaRDI QIDQ872192

Agata Smoktunowicz

Publication date: 27 March 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2006.08.003

zbMATH Keywords

growthGelfand-Kirillov dimensionnil-ringsfinitely generated graded algebrasfinitely generated Jacobson radical algebraslocally nilpotent Jacobson radicalprime affine algebras

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) 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

Nil algebras with restricted growth ⋮ Jacobson radical non-nil algebras of Gel'fand-Kirillov dimension 2. ⋮ JACOBSON RADICAL ALGEBRAS WITH QUADRATIC GROWTH

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