Minimal varieties of PI-algebras with graded involution

IF 1 3区数学 Q1 MATHEMATICS

Linear Algebra and its Applications Pub Date : 2024-07-25 DOI:10.1016/j.laa.2024.07.010

F.S. Benanti , O.M. Di Vincenzo , A. Valenti

引用次数: 0

Abstract

Let F be an algebraically closed field of characteristic zero and G a cyclic group of odd prime order. We consider the class of finite dimensional $(G, ⁎)$ -algebras, namely G-graded algebras endowed with graded involution ⁎, and we characterize the varieties generated by algebras of this class which are minimal with respect to the $(G, ⁎)$ -exponent.

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具有梯度卷积的 PI 算法的最小品种

设 F 是特征为零的代数闭域和奇素数阶的循环群。我们考虑一类有限维-代数，即禀赋有分级反卷⁎的-分级代数，并描述由这一类代数生成的、关于-分量为最小的代数品种的特征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Linear Algebra and its Applications 数学-应用数学

CiteScore

2.20

自引率

9.10%

发文量

333

审稿时长

13.8 months

期刊介绍： Linear Algebra and its Applications publishes articles that contribute new information or new insights to matrix theory and finite dimensional linear algebra in their algebraic, arithmetic, combinatorial, geometric, or numerical aspects. It also publishes articles that give significant applications of matrix theory or linear algebra to other branches of mathematics and to other sciences. Articles that provide new information or perspectives on the historical development of matrix theory and linear algebra are also welcome. Expository articles which can serve as an introduction to a subject for workers in related areas and which bring one to the frontiers of research are encouraged. Reviews of books are published occasionally as are conference reports that provide an historical record of major meetings on matrix theory and linear algebra.