| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4597533 | Journal of Pure and Applied Algebra | 2007 | 13 Pages |
Abstract
It is shown that for every countable field K, there is a finitely generated graded Jacobson radical algebra over K of Gelfand-Kirillov dimension two. Examples of finitely generated Jacobson radical algebras of Gelfand-Kirillov dimension two over algebraic extensions of finite fields of characteristic 2 were earlier constructed by Bartholdi [L. Bartholdi, Branch Rings, thinned rings, tree enveloping rings, Israel J. Math. (in press)].
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Agata Smoktunowicz,