Graded polynomial identities on upper block triangular matrix algebras

被引：12

作者：

Di Vincenzo, Onofrio Mario ^{[1
]}

Spinelli, Ernesto ^{[2
]}

机构：

[1] Univ Basilicata, Dipartimento Matemat Informat & Econ, I-85100 Potenza, Italy

[2] Univ Roma La Sapienza, Dipartimento Matemat G Castelnuovo, I-00185 Rome, Italy

来源：

JOURNAL OF ALGEBRA | 2014年 / 415卷

关键词：

Graded algebras; Graded polynomial identities; Upper block triangular matrix algebras; GRADINGS;

D O I：

10.1016/j.jalgebra.2014.06.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be an arbitrary abelian group. In the present paper we study the question of whether G-graded upper block triangular matrix algebras over a field of characteristic zero are determined, up to G-graded isomorphism, by their G-graded polynomial identities. We obtain some results for an elementary grading and, as a consequence, for any grading over an algebraically closed field. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：50 / 64

页数：15

共 50 条

[41] EULERIAN(ASTERISK)-POLYNOMIAL IDENTITIES ON MATRIX ALGEBRAS
SZIGETI, J
COMMUNICATIONS IN ALGEBRA, 1995, 23 (01) : 245 - 253
[42] POLYNOMIAL-IDENTITIES FOR TRACES IN MATRIX ALGEBRAS
WEN, ZX
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1994, 318 (02): : 99 - 104
[43] SOME POLYNOMIAL-IDENTITIES OF MATRIX ALGEBRAS
DRENSKY, VS
KASPARIAN, AK
DOKLADI NA BOLGARSKATA AKADEMIYA NA NAUKITE, 1983, 36 (05): : 565 - 568
[44] WEAK POLYNOMIAL-IDENTITIES FOR THE MATRIX ALGEBRAS
DRENSKY, V
RASHKOVA, TG
COMMUNICATIONS IN ALGEBRA, 1993, 21 (10) : 3779 - 3795
[45] The graded identities of upper triangular matrices of size two
Valenti, A
JOURNAL OF PURE AND APPLIED ALGEBRA, 2002, 172 (2-3) : 325 - 335
[46] Gradings on the algebra of upper triangular matrices and their graded identities
Di Vincenzo, OM
Koshlukov, P
Valenti, A
JOURNAL OF ALGEBRA, 2004, 275 (02) : 550 - 566
[47] Graded identities with involution for the algebra of upper triangular matrices
Diniz, Diogo
Ramos, Alex
Galdino, Jose Lucas
LINEAR ALGEBRA AND ITS APPLICATIONS, 2024, 688 : 120 - 156
[48] IDENTITIES IN THE VARIETIES GENERATED BY THE ALGEBRAS OF UPPER TRIANGULAR MATRICES
Ratseev, S. M.
SIBERIAN MATHEMATICAL JOURNAL, 2011, 52 (02) : 329 - 339
[49] Identities in the varieties generated by the algebras of upper triangular matrices
Ratseev S.M.
Siberian Mathematical Journal, 2011, 52 (2) : 329 - 339
[50] Functional identities on upper triangular matrix rings
Yuan, He
Chen, Liangyun
OPEN MATHEMATICS, 2020, 18 : 182 - 193

← 1 2 3 4 5 →