Nil algebras with restricted growth
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Publication:2891994
DOI10.1017/S0013091510001100zbMath1259.16022arXiv1008.4461OpenAlexW2964331806WikidataQ114950158 ScholiaQ114950158MaRDI QIDQ2891994
Agata Smoktunowicz, Alexander A. Young, Thomas H. Lenagan
Publication date: 18 June 2012
Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1008.4461
Growth rate, Gelfand-Kirillov dimension (16P90) Nil and nilpotent radicals, sets, ideals, associative rings (16N40)
Related Items (12)
Clover nil restricted Lie algebras of quasi-linear growth ⋮ Golod-Shafarevich algebras, free subalgebras and Noetherian images. ⋮ On graded characterizations of finite dimensionality for algebraic algebras ⋮ Group-like small cancellation theory for rings ⋮ Nil algebras, Lie algebras and wreath products with intermediate and oscillating growth ⋮ Jacobson radical non-nil algebras of Gel'fand-Kirillov dimension 2. ⋮ Growth, entropy and commutativity of algebras satisfying prescribed relations. ⋮ On the Kurosh problem for algebras of polynomial growth over a general field. ⋮ JACOBSON RADICAL ALGEBRAS WITH QUADRATIC GROWTH ⋮ Nil restricted Lie algebras of oscillating intermediate growth ⋮ On matrix wreath products of algebras ⋮ Matrix wreath products of algebras and embedding theorems
Cites Work
- Jacobson radical algebras with Gelfand-Kirillov dimension two over countable fields.
- Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
- Polynomial rings over nil rings need not be nil
- An infinite dimensional affine nil algebra with finite Gelfand-Kirillov dimension
- Affine algebras of Gelfand-Kirillov dimension one are PI
- SOME OPEN PROBLEMS IN THE THEORY OF INFINITE DIMENSIONAL ALGEBRAS
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