Nil algebras with restricted growth

2010/08/26 by Lenagan, T H, Smoktunowicz, Agata, Young, Alexander
#16N40 #16P90 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.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.

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