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Abstract
We show that if $k$ is a countable field, then there exists a finitely generated, infinitedimensional, primitive algebraic $k$algebra $A$ whose GelfandKirillov dimension is at most six. In addition to this we construct a twogenerated primitive algebraic $k$algebra. We also pose many open problems.
Original language  English 

Title of host publication  New Trends in Noncommutative Algebra 
Subtitle of host publication  A Conference in Honor of Ken Goodearl’s 65th Birthday 
Editors  P Ara, K. A. Brown, T. H. Lenagan, E. S. Letzter, J. T. Stafford, J. J. Zhang 
Publisher  American Mathematical Society 
Number of pages  12 
Volume  562 
ISBN (Electronic)  9780821884973 
ISBN (Print)  9780821852972 
DOIs  
Publication status  Published  2012 
Keywords
 math.RA
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Dive into the research topics of 'Primitive algebraic algebras of polynomially bounded growth'. Together they form a unique fingerprint.Projects
 1 Finished

Nil algebras, algebraic algebras and algebras with finite GelfandKirillov dimension
1/08/06 → 31/07/11
Project: Research