Jacobson radical non-nil algebras of Gel'fand-Kirillov dimension 2.

DOI10.1007/s11856-012-0073-5zbMath1283.16020arXiv1102.2697OpenAlexW2122855663MaRDI QIDQ1955778

Laurent Bartholdi, Agata Smoktunowicz

Publication date: 18 June 2013

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.2697

zbMATH Keywords

prime algebrasJacobson radicalnil idealsGelfand-Kirillov dimensionradical ringsaffine algebrasfinitely generated algebrasJacobson radical algebrasquasi-regular elements

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) 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

Branch rings, thinned rings, tree enveloping rings -- erratum., JACOBSON RADICAL ALGEBRAS WITH QUADRATIC GROWTH, On matrix wreath products of algebras, Matrix wreath products of algebras and embedding theorems

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