English

Nil algebras with restricted growth

Rings and Algebras 2010-08-27 v1

Abstract

It 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 three.

Keywords

Cite

@article{arxiv.1008.4461,
  title  = {Nil algebras with restricted growth},
  author = {T H Lenagan and Agata Smoktunowicz and Alexander Young},
  journal= {arXiv preprint arXiv:1008.4461},
  year   = {2010}
}

Comments

20 pages

R2 v1 2026-06-21T16:05:25.236Z