Primitivity of prime countable-dimensional regular algebras
Rings and Algebras
2013-12-11 v2
Abstract
Let be a field and let be a countable dimensional prime von Neumann regular -algebra. We show that is primitive, answering a special case of a question of Kaplansky.
Cite
@article{arxiv.1308.5848,
title = {Primitivity of prime countable-dimensional regular algebras},
author = {Pere Ara and Jason P. Bell},
journal= {arXiv preprint arXiv:1308.5848},
year = {2013}
}
Comments
8 pages; revised version; to appear in Proc. Amer. Math. Soc