A dichotomy result for prime algebras of Gelfand-Kirillov dimension two

Details A dichotomy result for prime algebras of Gelfand-Kirillov dimension two A dichotomy result for prime algebras of Gelfand-Kirillov dimension two

2009-11-22

arxiv.org/abs/0911.4214v1

Mathematics

Rings and Algebras

10 pages

Scientific paper

Let $k$ be an uncountable field. We show that a finitely generated prime
Goldie $k$-algebra of quadratic growth is either primitive or satisfies a
polynomial identity, answering a question of Small in the affirmative.

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