On the factorability of the ideal of *-graded polynomial identities of minimal varieties of PI *-superalgebras

被引：0
|
作者：
Di Vincenzo, Onofrio Mario [1 ]
Tomaz da Silva, Viviane Ribeiro [2 ]
Spinelli, Ernesto [3 ]
机构：
[1] Univ Basilicata, Dipartimento Matemat Informat & Econ, Via Ateneo Lucano 10, I-85100 Potenza, Italy
[2] Univ Fed Minas Gerais, Inst Ciencias Exatas, Dept Matemat, BR-30161970 Belo Horizonte, MG, Brazil
[3] Univ Roma La Sapienza, Dipartimento Matemat G Castelnuovo, Piazzale Aldo Moro 5, I-00185 Rome, Italy
来源：
JOURNAL OF ALGEBRA | 2022年 / 589卷
关键词：
Graded algebras; Involutions; *-graded polynomial identities; Exponent; TRIANGULAR-MATRIX ALGEBRAS; CODIMENSION GROWTH;
D O I：
10.1016/j.jalgebra.2021.09.015
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It has been recently proved that a variety of associative PI-superalgebras with graded involution of finite basic rank over a field of characteristic zero is minimal of fixed *-graded exponent if, and only if, it is generated by a subalgebra of an upper block triangular matrix algebra, A := UT*(Z2) (A(1), ..., A(m)), equipped with a suitable elementary Z(2)-grading and graded involution. Here we give necessary and sufficient conditions so that Id*(Z2) (A) factorizes in the product of the ideals of *-graded polynomial identities of its *-graded simple components A. (C) 2021 Elsevier Inc. All rights reserved.
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页码：273 / 286
页数：14
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