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JACOBSON RADICAL ALGEBRAS WITH QUADRATIC GROWTH
Published online by Cambridge University Press: 01 October 2013
Abstract
We show that over every countable algebraically closed field $\mathbb{K}$ there exists a finitely generated $\mathbb{K}$-algebra that is Jacobson radical, infinite-dimensional, generated by two elements, graded and has quadratic growth. We also propose a way of constructing examples of algebras with quadratic growth that satisfy special types of relations.
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- Research Article
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- Copyright © Glasgow Mathematical Journal Trust 2013
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