A partition of finite rings makes lifting possible
Rings and Algebras
2023-04-19 v4
Abstract
We show that every finite ring has a partition, where each block corresponds to one idempotent. Remarkably, this partition provides a way to \emph{lift} a wide variety of special elements such as idempotents, nilpotents, unipotents, roots of unity and regular elements.
Cite
@article{arxiv.2009.12508,
title = {A partition of finite rings makes lifting possible},
author = {Vineeth Chintala},
journal= {arXiv preprint arXiv:2009.12508},
year = {2023}
}
Comments
4 pages, updated with additional results