Primitive algebraic algebras of polynomially bounded growth
Rings and Algebras
2010-11-19 v1
Abstract
We show that if is a countable field, then there exists a finitely generated, infinite-dimensional, primitive algebraic -algebra whose Gelfand-Kirillov dimension is at most six. In addition to this we construct a two-generated primitive algebraic -algebra. We also pose many open problems.
Keywords
Cite
@article{arxiv.1011.4133,
title = {Primitive algebraic algebras of polynomially bounded growth},
author = {Jason P. Bell and Lance W. Small and Agata Smoktunowicz},
journal= {arXiv preprint arXiv:1011.4133},
year = {2010}
}
Comments
12 pages