Identities with involution for 2×2 upper triangular matrices algebra over a finite field

Identities with involution for 2×2 upper triangular matrices algebra over a finite field

Let UT2(F) be the 2×2 upper triangular matrices algebra over a finite field F of characteristic different from 2. For every involution of the first kind of UT2(F) we describe the set of all ⁎-polynomial identities for this algebra.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Linear algebra and its applications 2018-05, Vol.544, p.223-253
Hauptverfasser: Urure, Ronald Ismael Quispe, Gonçalves, Dimas José
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Finite fields
Identities with involution
Involution
Linear algebra
Matrix
PI-algebra
Polynomials
Upper triangular matrices algebra
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:Let UT2(F) be the 2×2 upper triangular matrices algebra over a finite field F of characteristic different from 2. For every involution of the first kind of UT2(F) we describe the set of all ⁎-polynomial identities for this algebra.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2018.01.007