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.
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页数：11
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