On prime non-primitive von Neumann regular algebras
Rings and Algebras
2011-03-22 v1
Abstract
Let be any directed graph, and any field. We classify those graphs for which the Leavitt path algebra is primitive. As a consequence, we obtain classes of examples of von Neumann regular prime rings which are not primitive.
Keywords
Cite
@article{arxiv.1103.4089,
title = {On prime non-primitive von Neumann regular algebras},
author = {Gene Abrams and Jason Bell and Kulumani M. Rangaswamy},
journal= {arXiv preprint arXiv:1103.4089},
year = {2011}
}
Comments
18 pages