m-NIL-CLEAN COMPANION MATRICES | Zendy

Andrada Cîmpean | Zendy

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m-NIL-CLEAN COMPANION MATRICES

Author(s) -

Andrada Cîmpean

Publication year - 2019

Publication title -

electronic journal of linear algebra

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.447

H-Index - 31

eISSN - 1537-9582

pISSN - 1081-3810

DOI - 10.13001/ela.2019.4937

Subject(s) - mathematics , trace (psycholinguistics) , dimension (graph theory) , nilpotent , pure mathematics , matrix (chemical analysis) , prime (order theory) , companion matrix , combinatorics , algebra over a field , mathematical analysis , philosophy , linguistics , materials science , matrix polynomial , polynomial matrix , polynomial , composite material

Companion matrices over fields of prime characteristic, p, that are sums of two idempotents and a nilpotent are characterized in terms of dimension and trace of such a matrix and of p. Companion matrices over fields of positive characteristic, p, that are sums of m idempotents, m ≥ 2, and a nilpotent are characterized in terms of dimension and trace of such a matrix and of p.

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