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

共 50 条

[1] Graded identities of simple real graded division algebras [J].

Bahturin, Yuri ;

Diniz, Diogo .

JOURNAL OF ALGEBRA, 2018, 500 :316-334

[2] Graded Identities and Central Polynomials for the Verbally Prime Algebras [J].

Fidelis, Claudemir ;

Diniz, Diogo ;

Bernardo, Leomaques ;

Koshlukov, Plamen .

ALGEBRAS AND REPRESENTATION THEORY, 2023, 26 (01) :71-96

[3] Graded polynomial identities as identities of universal algebras [J].

Bahturin, Yuri ;

Yasumura, Felipe .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2019, 562 :1-14

[4] Homogeneous involutions on graded division algebras and their polynomial identities [J].

Yasumura, Felipe Yukihide .

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024, 23 (09)

[5] Upper triangular matrices of graded division algebras and their identities [J].

Argenti, Sebastiano ;

Di Vincenzo, Onofrio Mario .

JOURNAL OF ALGEBRA, 2023, 626 :109-134

[6] Classification of involutions on graded-division simple real algebras [J].

Bahturin, Yuri ;

Kochetov, Mikhail ;

Rodrigo-Escudero, Adrian .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 546 :1-36

[7] Zq-graded identities and central polynomials of the Grassmann algebra [J].

Guimaraes, Alan ;

Fidelis, Claudemir ;

Dias, Laise .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2021, 609 :12-36

[8] Graded polynomial identities of triangular algebras [J].

Di Vincenzo, Onofrio M. ;

Nardozza, Vincenzo .

JOURNAL OF PURE AND APPLIED ALGEBRA, 2020, 224 (06)

[9] Simple graded division algebras over the field of real numbers [J].

Bahturin, Yuri ;

Zaicev, Mikhail .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2016, 490 :102-123

[10] GRADED GENERALIZED POLYNOMIAL IDENTITIES (WITH AN ANTIAUTOMORPHISM) IN GRADED ALGEBRAS [J].

Wang, Yao ;

Wang, Yu .

COMMUNICATIONS IN ALGEBRA, 2012, 40 (10) :3629-3635

← 1 2 3 4 5 →