Subrings which are closed with respect to taking the inverse
Rings and Algebras
2007-07-04 v1
Abstract
Let S be a subring of the ring R. We investigate the question of whether S intersected by U(R) is equal to U(S) holds for the units. In many situations our answer is positive. There is a special emphasis on the case when R is a full matrix ring and S is a structural subring of R defined by a reflexive and transitive relation.
Cite
@article{arxiv.0707.0447,
title = {Subrings which are closed with respect to taking the inverse},
author = {Jeno Szigeti and Leon van Wyk},
journal= {arXiv preprint arXiv:0707.0447},
year = {2007}
}