T. H. Lenagan, Agata Smoktunowicz, Alexander Young
Abstract
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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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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.
Key concepts: Countable set, Finitely-generated abelian group, Mathematics, Dimension (graph theory), Field (mathematics), Pure mathematics, Existential quantification, Algebra over a field