English

Some remarks on the Jordan-Chevalley decomposition

Rings and Algebras 2017-07-07 v1

Abstract

In this note we mainly study the fine Jordan-Chevalley decomposition: a refinement of the classical Jordan-Chevalley decomposition of a matrix and we pay a particular attention to the field of the coefficients of the matrix. Moreover we obtain some further additive and multiplicative decompositions of a matrix under suitable conditions.

Keywords

Cite

@article{arxiv.1707.01794,
  title  = {Some remarks on the Jordan-Chevalley decomposition},
  author = {Alberto Dolcetti and Donato Pertici},
  journal= {arXiv preprint arXiv:1707.01794},
  year   = {2017}
}
R2 v1 2026-06-22T20:39:41.467Z