Minimal varieties of PI-algebras with graded involution

被引：0

作者：

Benanti, F. S. ^{[1
]}

Di Vincenzo, O. M. ^{[2
]}

Valenti, A. ^{[3
]}

机构：

[1] Univ Palermo, Dipartimento Matemat & Informat, Via Archirafi 34, I-90123 Palermo, Italy

[2] Univ Basilicata, Dipartimento Matemat Informat & Econ, Via Ateneo Lucano 10, I-85100 Potenza, Italy

[3] Univ Palermo, Dipartimento Ingn, Viale Sci, I-90128 Palermo, Italy

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2024年 / 699卷

关键词：

Graded algebras; Graded involutions; Codimension; Mimimal varieties; POLYNOMIAL-IDENTITIES; CODIMENSION GROWTH; GROUP GRADINGS; SIMPLE JORDAN;

D O I：

10.1016/j.laa.2024.07.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (c) 2024 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http:// creativecommons .org /licenses /by /4 .0/).

引用

页码：459 / 507

页数：49

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