On the centralizer of a matrix and wild problem

In this paper, we give a full description of the centralizer of a given square matrix over an arbitrary field and use this result to solve a weaker version of the Wild Problem.

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Publication Details

Journal
Boletim da Sociedade Paranaense de Matemática
Published
2025-02-12
DOI
https://doi.org/10.5269/bspm.65298
Primary Topic
Matrix Theory and Algorithms
Type
article
Field-Weighted Citation Impact
0.00
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article

On the centralizer of a matrix and wild problem

M. E. Charkani, Smail Bouarga
1 links
Boletim da Sociedade Paranaense de Matemática
Matrix Theory and Algorithms
article

On the centralizer of a matrix and wild problem

M. E. Charkani, Smail Bouarga
article en

Abstract

In this paper, we give a full description of the centralizer of a given square matrix over an arbitrary field and use this result to solve a weaker version of the Wild Problem.

Boletim da Sociedade Paranaense de MatemáticaVol. 43
Université Ibn Zohr (MA), Sidi Mohamed Ben Abdellah University (MA)
Openalex Percentile: Top 93%
Matrix Theory and Algorithms
DOIOpen Access PDFOpenAlex
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On the centralizer of a matrix and wild problem — M. E. Charkani, Smail Bouarga · Boletim da Sociedade Paranaense de Matemática (2025) | TGRS Research Map | TGRS