English

A note on products of quadratic matrices of singular type

Rings and Algebras 2019-02-12 v1

Abstract

I provide an alternate and self-contained proof of Botha's theorem on products of idempotent and square-zero matrices where the product contains two square-zero factors, and provide a conclusive characterisation of products of singular quadratic matrices based on previous results.

Keywords

Cite

@article{arxiv.1902.03584,
  title  = {A note on products of quadratic matrices of singular type},
  author = {Christiaan J Hattingh},
  journal= {arXiv preprint arXiv:1902.03584},
  year   = {2019}
}