Sums Of K-potent Matrices
Rings and Algebras
2020-05-05 v1
Abstract
We study sums of -potent matrices. We show the conditions by which a complex matrix can be expressed as a sums of -potent matrices. Also we obtain conditions by which a complex matrix can be expressed as a sum of finite order elements. This generalize some results obtain by Wu. Also we study the sum of -potent matrices in with be a field and proof that any matrix in this space can be expressed as a sum of -potent matrices preserving the result obtain by Slowik.
Cite
@article{arxiv.2005.00601,
title = {Sums Of K-potent Matrices},
author = {Ivan Gargate and Michael Gargate},
journal= {arXiv preprint arXiv:2005.00601},
year = {2020}
}