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4 papers · 2 filters
Simple algebras of Gelfand-Kirillov dimension two
Jason P. Bell
Let be a field. We show that a finitely generated simple Goldie -algebra of quadratic growth is noetherian and has Krull dimension 1. Thus a simple algebra of quadratic grow…
The prime spectrum of algebras of quadratic growth
Jason P. Bell, Agata Smoktunowicz
We study prime algebras of quadratic growth. Our first result is that if is a prime monomial algebra of quadratic growth then has finitely many prime ideals such that $…
Extended centres of finitely generated prime algebras
Jason P. Bell, Agata Smoktunowicz
Let be a field and let be a finitely generated prime -algebra. We generalize a result of Smith and Zhang, showing that if is not PI and does not have a locally nilpo…
Stably Just Infinite Rings
Jason Bell, John Farina, Cayley Pendergrass-Rice
We study just infinite algebras which remain so upon extension of scalars by arbitrary field extensions. Such rings are called stably just infinite. We show that just infinite ring…