Identities and central polynomials for real graded division algebras

被引：1

作者：

Diniz, Diogo ^{[1
]}

Fidelis, Claudemir ^{[1
]}

Mota, Sergio ^{[2
]}

机构：

[1] Univ Fed Campia Grande, Unidade Acad Matemat, BR-58429970 Campia Grande, PB, Brazil

[2] Univ Estadual Santa Cruz, Rodovia Ilheus Itahuna,Km 16, BR-45662900 Ilheus, BA, Brazil

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2017年 / 27卷 / 07期

关键词：

Graded algebra; simple real algebra; graded polynomial identities; GRADINGS;

D O I：

10.1142/S0218196717500436

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a finite dimensional simple real algebra with a division grading by a finite abelian group G. In this paper, we provide a finite basis for the T-G-ideal of graded polynomial identities for A and a finite basis for the T-G-space of graded central polynomials for A.

引用

页码：935 / 952

页数：18

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