Matrices over finite fields as sums of periodic and nilpotent elements
type: Item
instance of: scholarly article
title: Matrices over finite fields as sums of periodic and nilpotent elements
zbMATH Open document ID: 1394.15021
author: Simion Sorin Breaz
published in: Linear Algebra and its Applications
publication date: 2018-08-08T00:00:00Z
Mathematics Subject Classification ID: 15B33
Mathematics Subject Classification ID: 15A24
zbMATH DE Number: 6914718
zbMATH Keywords: periodic matrix
zbMATH Keywords: nilpotent matrix
zbMATH Keywords: companion matrix
MaRDI profile type: Publication
full work available at URL: j.laa.2018.06.017
OpenAlex ID: W2809270641
cites work: On some matrix analogs of the little Fermat theorem
cites work: Sums of two square-zero matrices over an arbitrary field
cites work: Nil-clean matrix rings
cites work: On the Representation of an Idempotent as a Sum of Nilpotent Elements
cites work: Commutators in Division Rings
cites work: When is every matrix over a division ring a sum of an idempotent and a nilpotent?
cites work: Sums of small numbers of idempotents
cites work: Every matrix is a linear combination of three idempotents
cites work: Sums of three quadratic endomorphisms of an infinite-dimensional vector space
cites work: Sums of two triangularizable quadratic matrices over an arbitrary field
cites work: On decomposing any matrix as a linear combination of three idempotents
cites work: Sums of projections
cites work: On expressing matrices over \(\mathbb{Z}_2\) as the sum of an idempotent and a nilpotent
Wikidata QID: Q129678894
DOI: 10.1016/J.LAA.2018.06.017
description: scientific article; zbMATH DE number 6914718