Primitive algebraic algebras of polynomially bounded growth

DOI10.1090/conm/562/11129zbMath1267.16022arXiv1011.4133OpenAlexW1629238250MaRDI QIDQ2895454

Lance W. Small, Agata Smoktunowicz, Jason P. Bell

Publication date: 2 July 2012

Published in: New Trends in Noncommutative Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.4133

zbMATH Keywords

locally finite dimensional algebrasprimitive algebraic algebrasinfinite dimensional algebrasKurosh problemalgebras polynomially bounded growth, Gelfand-Kirillov dimension

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Infinite-dimensional and general division rings (16K40) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (5)

Algebras and semigroups of locally subexponential growth ⋮ On graded characterizations of finite dimensionality for algebraic algebras ⋮ On the Kurosh problem for algebras of polynomial growth over a general field. ⋮ On matrix wreath products of algebras ⋮ Matrix wreath products of algebras and embedding theorems

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