具有超自同构的超代数的多项式余维增长

IF 1.1 3区数学 Q1 MATHEMATICS Linear Algebra and its Applications Pub Date : 2025-04-01 Epub Date: 2025-01-28 DOI:10.1016/j.laa.2025.01.035

Sara Accomando

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引用次数: 0

摘要

本文给出了具有阶≤2的超自同构的结合超代数的一些结果。我们用以常数为界的协特征的多重性来刻画具有超自同构的超代数。此外，我们还确定了具有余维多项式增长的超自同构超代数的性质，并给出了几乎多项式增长的变种的子变种的分类。最后，我们用余维的线性增长刻画了具有超自同构的超代数。

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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Polynomial codimension growth of superalgebras with superautomorphism

In this paper we present some results concerning associative superalgebras endowed with a superautomorphism of order ≤2. We characterize the superalgebras with superautomorphism with multiplicities of the cocharacter bounded by a constant. Moreover, we determine the characterization of the superalgebras with superautomorphism with polynomial growth of the codimensions and we give a classification of the subvarieties of the varieties of almost polynomial growth. Finally, we characterize the superalgebras with superautomorphism with linear growth of the codimensions.

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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.