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Nil algebras with restricted growth.

Fri, 08/27/2010 - 15:01 — SomNambul
Authors: T H Lenagan, Agata Smoktunowicz, Alexander Young
Subjects: Rings and Algebras
link: http://arxiv.org/abs/1008.4461
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.