Minimal ∗-varieties and superinvolutions

IF 0.8 2区数学 Q2 MATHEMATICS

Israel Journal of Mathematics Pub Date : 2024-09-03 DOI:10.1007/s11856-024-2657-2

Onofrio M. Di Vincenzo, Vincenzo C. Nardozza

引用次数: 0

Abstract

We introduce a class of finite-dimensional superalgebras over an algebraically closed field of characteristic zero, whose Grassmann envelopes generate all ∗-minimal varieties. Moreover, we prove that any affine minimal variety of superalgebras with superinvolution is generated by a suitable element in this selected class.

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最小∗变量和超旋回

我们介绍了一类特征为零的代数闭域上的有限维超数，它们的格拉斯曼包络生成了所有∗-极小综。此外，我们还证明了任何具有超卷积的仿射极小超基团都是由这一选定类别中的一个合适元素生成的。

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

Israel Journal of Mathematics 数学-数学

CiteScore

1.70

自引率

10.00%

发文量

审稿时长

6 months

期刊介绍： The Israel Journal of Mathematics is an international journal publishing high-quality original research papers in a wide spectrum of pure and applied mathematics. The prestigious interdisciplinary editorial board reflects the diversity of subjects covered in this journal, including set theory, model theory, algebra, group theory, number theory, analysis, functional analysis, ergodic theory, algebraic topology, geometry, combinatorics, theoretical computer science, mathematical physics, and applied mathematics.