On the existence of maximal orders
Number Theory
2011-05-17 v1
Abstract
We generalize the existence of maximal orders in a semi-simple algebra for general ground rings. We also improve several statements in Chapter 5 and 6 of Reiner's book concerning separable algebras by removing the separability condition, provided the ground ring is only assumed to be Japanese, a very mild condition. Finally, we show the existence of maximal orders as endomorphism rings of abelian varieties in each isogeny class.
Cite
@article{arxiv.1105.2897,
title = {On the existence of maximal orders},
author = {Chia-Fu Yu},
journal= {arXiv preprint arXiv:1105.2897},
year = {2011}
}
Comments
22 pages. To appear in Int. J. Number Theory