Nil algebras with restricted growth-Reference-Cited by-同舟云学术

Nil algebras with restricted growth

Published:2012-02-23 Issue:2 Volume:55 Page:461-475
ISSN:0013-0915
Container-title:Proceedings of the Edinburgh Mathematical Society
language:en
Short-container-title:Proceedings of the Edinburgh Mathematical Society

Author:

Lenagan T. H.,Smoktunowicz Agata,Young Alexander A.

Abstract

AbstractIt is shown that over an arbitrary countable field there exists a finitely generated algebra that is nil, infinite dimensional and has Gelfand–Kirillov dimension at most 3.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference10 articles.

1. SOME OPEN PROBLEMS IN THE THEORY OF INFINITE DIMENSIONAL ALGEBRAS

2. Affine algebras of Gelfand-Kirillov dimension one are PI

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

4. On nil-algebras and finitely approximable p-groups;Golod;Izv. Akad. Nauk SSSR Ser. Mat.,1964

5. On the class field tower;Golod;Izv. Akad. Nauk SSSR Ser. Mat.,1964

Cited by 13 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Nil algebras, Lie algebras and wreath products with intermediate and oscillating growth;Advances in Mathematics;2023-10

2. Group-like small cancellation theory for rings;International Journal of Algebra and Computation;2023-08-03

3. Nil restricted Lie algebras of oscillating intermediate growth;Journal of Algebra;2021-12

4. Clover nil restricted Lie algebras of quasi-linear growth;Journal of Algebra and Its Applications;2020-12-23

5. Matrix wreath products of algebras and embedding theorems;Transactions of the American Mathematical Society;2019-05-20