Square-Free Rings With Local Units
Rings and Algebras
2011-06-07 v1
Abstract
Recently, the author characterized all artinian square-free rings with identity. Here, those results are extended to the setting of rings with local units. We use this characterization of square-free rings to derive many results similar to the artinian case and to determine, in cohomological terms, exactly when a square-free ring has an associated square-free algebra structure.
Cite
@article{arxiv.1106.0913,
title = {Square-Free Rings With Local Units},
author = {Martin Montgomery},
journal= {arXiv preprint arXiv:1106.0913},
year = {2011}
}