Determinantal polynomials and the base polynomial of a square matrix over a finite field

Autor:	Edoardo Ballico
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	Finite field Hermitian matrix Base polynomial Numerical range Mathematics QA1-939
Zdroj:	Arab Journal of Mathematical Sciences, Vol 30, Iss 2, Pp 245-255 (2024)
Druh dokumentu:	article
ISSN:	2588-9214 1319-5166
DOI:	10.1108/AJMS-10-2022-0242/full/pdf
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/4936b47a9e3a4f749a3560a9fb80397e Zobrazit plný text záznamu View record in DOAJ