A-identities for the 2 x 2 matrix algebra

被引：0

作者：

Goncalves, Dimas Jose ^{[1
]}

Schutzer, Waldeck ^{[1
]}

Talpo, Humberto Luiz ^{[1
]}

机构：

[1] Univ Fed Sao Carlos, Dept Math, BR-13565905 Sao Carlos, SP, Brazil

来源：

ARCHIV DER MATHEMATIK | 2016年 / 106卷 / 05期

基金：

巴西圣保罗研究基金会;

关键词：

PI-algebras; Noncommutative rings; Matrix rings;

D O I：

10.1007/s00013-016-0882-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K be an algebraically closed field of characteristic zero. We prove that the minimum degree for A-identities of M-2(K) is 6. We also construct an explicit A-polynomial of degree 6 and prove it is an A-identity.

引用

页码：417 / 429

页数：13

共 50 条

[41] Z-graded polynomial identities of the full matrix algebra
Vasilovsky, SY
COMMUNICATIONS IN ALGEBRA, 1998, 26 (02) : 601 - 612
[42] ON PRO-2 IDENTITIES OF 2 x 2 LINEAR GROUPS
Ben-Ezra, David El-Chai
Zelmanov, Efim
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 374 (06) : 4093 - 4128
[43] Z2-graded identities of the Grassmann algebra in positive characteristic
Centrone, Lucio
LINEAR ALGEBRA AND ITS APPLICATIONS, 2011, 435 (12) : 3297 - 3313
[44] SPECIALIZATION OF LIE-ALGEBRAS WITH SL2 ALGEBRA IDENTITIES
BILLIG, YV
IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA, 1991, (10): : 15 - 18
[45] POLYNOMIAL-IDENTITIES FOR 2X2 MATRICES
DRENSKY, V
ACTA APPLICANDAE MATHEMATICAE, 1990, 21 (1-2) : 137 - 161
[46] Graded polynomial identities for the Lie algebra sl2(K)
Koshlukov, Plamen
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2008, 18 (05) : 825 - 836
[47] Polynomial identities for the Jordan algebra of upper triangular matrices of order 2
Koshlukov, Plamen
Martino, Fabrizio
JOURNAL OF PURE AND APPLIED ALGEBRA, 2012, 216 (11) : 2524 - 2532
[48] G-identities for the Lie algebra sl2(C)
Koshlukov, Plamen
Mattos Mortari, Alda Dayana
JOURNAL OF PURE AND APPLIED ALGEBRA, 2015, 219 (06) : 2381 - 2395
[49] Defining relations for the algebra of invariants of 2 x 2 matrices
Drensky, V
ALGEBRAS AND REPRESENTATION THEORY, 2003, 6 (02) : 193 - 214
[50] On the graded identities and cocharacters of the algebra of 3 x 3 matrices
La Mattina, D
LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 384 : 55 - 75

← 1 2 3 4 5 →