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

被引：0

作者：

Gonçalves, Dimas José ^{[1
]}

Salomão, Mateus Eduardo ^{[2
]}

机构：

[1] Universidade Federal de São Carlos (UFSCar), Departamento de Matemática, SP, São Carlos,13565-905, Brazil

[2] Universidade Tecnológica Federal do Paraná (UTFPR), Departamento de Matemática, PR, Pato Branco,85503-390, 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：

D O I：

10.1016/j.laa.2024.11.022

中图分类号：

学科分类号：

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. © 2024 Elsevier Inc.

引用

页码：61 / 92

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

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