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JACOBSON RADICAL ALGEBRAS WITH QUADRATIC GROWTH

Published online by Cambridge University Press:  01 October 2013

AGATA SMOKTUNOWICZ  and
ALEXANDER A. YOUNG
AGATA SMOKTUNOWICZ
Affiliation:
Maxwell Institute for Mathematical Sciences and School of Mathematics, University of Edinburgh, James Clerk Maxwell Building, King's Buildings, Mayfield Road, Edinburgh EH9 3JZ, Scotland, United Kingdom e-mail: A.Smoktunowicz@ed.ac.uk
ALEXANDER A. YOUNG
Affiliation:
Department of Mathematics, University of California at San Diego, 9500 Gilman Drive, La Jolla, CA 92093-0112, USA e-mail: aayoung@math.ucsd.edu
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Abstract

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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.

Keywords

16N4016P90
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 55 , Issue A: New developments in Noncommutative Algebra and its applications. A conference in honour of Kenny Brown's and Toby Stafford's 60th birthdays. , October 2013 , pp. 135 - 147
Copyright
Copyright © Glasgow Mathematical Journal Trust 2013 

References

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