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math.RA2010
Primitive algebraic algebras of polynomially bounded growth
Jason P. Bell, Lance W. Small, Agata Smoktunowicz
We show that if is a countable field, then there exists a finitely generated, infinite-dimensional, primitive algebraic -algebra whose Gelfand-Kirillov dimension is at m…
math.RA2010★ 5 cited
Nil algebras with restricted growth
T H Lenagan, Agata Smoktunowicz, Alexander Young
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.