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Article
Publication date: 5 April 2023

Edoardo Ballico

The author studies forms over finite fields obtained as the determinant of Hermitian matrices and use these determinatal forms to define and study the base polynomial of a square…

Abstract

Purpose

The author studies forms over finite fields obtained as the determinant of Hermitian matrices and use these determinatal forms to define and study the base polynomial of a square matrix over a finite field.

Design/methodology/approach

The authors give full proofs for the new results, quoting previous works by other authors in the proofs. In the introduction, the authors quoted related references.

Findings

The authors get a few theorems, mainly describing some monic polynomial arising as a base polynomial of a square matrix.

Originality/value

As far as the author knows, all the results are new, and the approach is also new.

Details

Arab Journal of Mathematical Sciences, vol. ahead-of-print no. ahead-of-print
Type: Research Article
ISSN: 1319-5166

Keywords

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