Unitary superalgebras with graded involution or superinvolution of polynomial growth

被引：5
作者：
Costa, W. D. S. [1 ]
Ioppolo, A. [2 ]
dos Santos, R. B. [1 ]
Vieira, A. C. [1 ]
机构：
[1] Univ Fed Minas Gerais, ICEx, Ave Antonio Carlos 6627, BR-31123970 Belo Horizonte, MG, Brazil
[2] Univ Estadual Campinas, IMECC, Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP, Brazil
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2021年 / 225卷 / 09期
基金：
巴西圣保罗研究基金会;
关键词：
Polynomial identity; Graded involution; Superinvolution; Polynomial growth; Codimension; CODIMENSION GROWTH; ALGEBRAS; IDENTITIES; VARIETIES;
D O I：
10.1016/j.jpaa.2021.106666
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study associative unitary superalgebras with graded involution or superinvolution having polynomial growth of the codimension sequence. The first goal is to prove that, for this kind of algebras, the codimension sequence is a polynomial with rational coefficients. Then we shall construct several superalgebras with graded involution or superinvolution realizing the smallest and the largest value of the leading term of such a polynomial. (C) 2021 Elsevier B.V. All rights reserved.
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页数：15
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