Graded polynomial identities for the Jordan algebra of 2 x 2 upper triangular matrices

被引：0
|
作者：
Goncalves, Dimas Jose [1 ]
Salomao, Mateus Eduardo [2 ]
机构：
[1] Univ Fed Sao Carlos UFSCar, Dept Matemat, BR-13565905 Sao Carlos, SP, Brazil
[2] Univ Tecnol Fed Parana UTFPR, Dept Matemat, BR-85503390 Pato Branco, PR, Brazil
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2025年 / 708卷
基金：
巴西圣保罗研究基金会;
关键词：
Upper triangular matrix algebra; Jordan algebra; Graded polynomial identities; GRADINGS;
D O I：
10.1016/j.laa.2024.11.022
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Consider the Jordan algebra of upper triangular matrices of order two, over a field of characteristic different from two, with the Jordan product induced by the usual associative product. For every nontrivial group grading on such algebra, we describe the set of all its graded polynomial identities. Moreover, we describe a linear basis for the corresponding relatively free graded algebra. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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页码：61 / 92
页数：32
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