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arxiv: 1008.4461 · v1 · pith:DUEH7UOJnew · submitted 2010-08-26 · 🧮 math.RA

Nil algebras with restricted growth

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keywords algebraalgebrasarbitrarycountabledimensiondimensionalexistsfield
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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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