Homogeneous involutions on graded division algebras and their polynomial identities

被引：1

作者：

Yasumura, Felipe Yukihide ^{[1
]}

机构：

[1] Univ Sao Paulo, Inst Matemat & Estat, Dept Math, Sao Paulo, Brazil

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2024年 / 23卷 / 09期

基金：

巴西圣保罗研究基金会;

关键词：

Homogeneous involution; polynomial identities; GRADINGS; MATRICES;

D O I：

10.1142/S0219498824501329

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we describe the so-called homogeneous involution on finite-dimensional graded-division algebra over an algebraically closed field. We also compute their graded polynomial identities with involution. As pointed out by Fonseca and Mello, a homogeneous involution naturally appears when dealing with graded polynomial identities and a compatible involution.

引用

页数：11