Primitive algebraic algebras of polynomially bounded growth

Details Primitive algebraic algebras of polynomially bounded growth Primitive algebraic algebras of polynomially bounded growth

2010-11-18

arxiv.org/abs/1011.4133v1

Mathematics

Rings and Algebras

12 pages

Scientific paper

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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