Rings as the unions of proper subrings
Rings and Algebras
2010-01-25 v1
Abstract
We describe all possible ways how a ring can be expressed as the union of three of its proper subrings. This is an analogue for rings of a 1926 theorem of Scorza about groups. We then determine the minimal number of proper subrings of the simple matrix ring whose union is .
Cite
@article{arxiv.1001.3984,
title = {Rings as the unions of proper subrings},
author = {Andrea Lucchini and Attila Maroti},
journal= {arXiv preprint arXiv:1001.3984},
year = {2010}
}