We show that over every countable algebraically closed field K there exists a finitely generated 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.
|Number of pages||13|
|Journal||Glasgow Mathematical Journal|
|Publication status||Published - Oct 2013|
|Event||Conference on New Developments in Noncommutative Algebra and its Applications in honour of Kenny Brown's and Toby Stafford's 60th Birthdays - , United Kingdom|
Duration: 1 Jun 2011 → …
- GELFAND-KIRILLOV DIMENSION
- NIL ALGEBRAS