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arXiv · 1011.4133

Primitive algebraic algebras of polynomially bounded growth

Jason P. Bell·Lance W. Small·Agata Smoktunowicz
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Abstract

We show that if $k$ is a countable field, then there exists a finitely generated, infinite-dimensional, primitive algebraic $k$-algebra $A$ whose Gelfand-Kirillov dimension is at most six. In addition to this we construct a two-generated primitive algebraic $k$-algebra. We also pose many open problems.

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Jason P. Bell, Lance W. Small, Agata Smoktunowicz. 2010-11-18. Primitive algebraic algebras of polynomially bounded growth. https://arxiv.org/abs/1011.4133

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