Geodesic
JACOBSON RADICAL ALGEBRAS WITH QUADRATIC GROWTH
Glasgow mathematical journal, Tome 55 (2013) no. A, pp. 135-147

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DOI

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.
DOI : 10.1017/S0017089513000554
Mots-clés : 16N40, 16P90 
SMOKTUNOWICZ, AGATA; YOUNG, ALEXANDER A. JACOBSON RADICAL ALGEBRAS WITH QUADRATIC GROWTH. Glasgow mathematical journal, Tome 55 (2013) no. A, pp. 135-147. doi: 10.1017/S0017089513000554
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     pages = {135--147},
     year = {2013},
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     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089513000554/}
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