Matrices over a commutative ring as sums of three idempotents or three involutions
Rings and Algebras
2017-12-14 v1
Abstract
Motivated by Hirano-Tominaga's work \cite{HT} on rings for which every element is a sum of two idempotents and by de Seguins Pazzis's results \cite{de} on decomposing every matrix over a field of positive characteristic as a sum of idempotent matrices, we address decomposing every matrix over a commutative ring as a sum of three idempotent matrices and, respectively, as a sum of three involutive matrices.
Cite
@article{arxiv.1712.04607,
title = {Matrices over a commutative ring as sums of three idempotents or three involutions},
author = {Gaohua Tang and Yiqiang Zhou and Huadong Su},
journal= {arXiv preprint arXiv:1712.04607},
year = {2017}
}
Comments
14 pages. It has been accepted for publishing on Linear and Multilinear Algebra