Intermediate Semigroups are Groups
Group Theory
2007-05-23 v3
Abstract
We consider the lattice of subsemigroups of the general linear group over an Artinian ring containing the group of diagonal matrices and show that every such semigroup is actually a group.
Cite
@article{arxiv.math/9903088,
title = {Intermediate Semigroups are Groups},
author = {Alexandre A. Panin},
journal= {arXiv preprint arXiv:math/9903088},
year = {2007}
}
Comments
Plain TeX, 6 pages; final version accepted for publication in Semigroup Forum