Minimal affine varieties of superalgebras with superinvolution: A characterization

IF 1 3区数学 Q1 MATHEMATICS

Linear Algebra and its Applications Pub Date : 2024-06-19 DOI:10.1016/j.laa.2024.06.020

Onofrio M. Di Vincenzo , Vincenzo C. Nardozza

引用次数: 0

Abstract

We exhibit a class $C$ of finite dimensional algebras with superinvolution over an algebraically closed field of characteristic zero, with the remarkable property that each member of $C$ generates a minimal variety of algebras with superinvolution. This sums up to the fact that any affine minimal variety of algebras with superinvolution is generated by a suitable member of $C$ , thus providing a complete characterization of the affine minimal varieties of algebras with superinvolution.

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具有超卷积的超代数的最小仿射变种：表征

我们展示了一类在特征为零的代数闭域上具有超卷积的有限维代数代数的 C 类，它具有一个显著的性质，即 C 类的每个成员都会生成一个具有超卷积的代数代数的极小综。这就等于说，任何具有超卷积的仿射极小卷积都是由 C 的一个合适成员生成的，从而为具有超卷积的仿射极小卷积提供了一个完整的表征。

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.