On the Kurosh problem for algebras of polynomial growth over a general field.

DOI10.1016/j.jalgebra.2011.06.005zbMath1244.16013OpenAlexW1969247634MaRDI QIDQ661384

Alexander A. Young, Jason P. Bell

Publication date: 10 February 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.06.005

zbMATH Keywords

Gelfand-Kirillov dimensionnil algebrasgrowth of algebrasKurosh problemalgebraic algebrasalgebras of subexponential growth

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Nil and nilpotent radicals, sets, ideals, associative rings (16N40)

Related Items (5)

Clover nil restricted Lie algebras of quasi-linear growth ⋮ Free subalgebras of graded algebras ⋮ Nil algebras, Lie algebras and wreath products with intermediate and oscillating growth ⋮ Growth, entropy and commutativity of algebras satisfying prescribed relations. ⋮ Nil restricted Lie algebras of oscillating intermediate growth

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Makar-Limanov's conjecture on free subalgebras.
• On Burnside's problem on periodic groups
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Primitive algebras with arbitrary Gelfand-Kirillov dimension
• Polynomial rings over nil rings need not be nil
• Examples in finite Gel'fand-Kirillov dimension
• A question of Kaplansky
• Nil algebras with restricted growth
• Primitive algebraic algebras of polynomially bounded growth
• An infinite dimensional affine nil algebra with finite Gelfand-Kirillov dimension
• A SIMPLE NIL RING EXISTS
• Affine algebras of Gelfand-Kirillov dimension one are PI

This page was built for publication: On the Kurosh problem for algebras of polynomial growth over a general field.