Nilpotent groups in lattice framework

IF 0.6 4区数学 Q3 MATHEMATICS

Algebra Universalis Pub Date : 2024-09-23 DOI:10.1007/s00012-024-00873-5

Jelena Jovanović, Branimir Šešelja, Andreja Tepavčević

引用次数: 0

Abstract

In the framework of weak congruence lattices, many classes of groups have been characterized up to now, in completely lattice-theoretic terms. In this note, the center of the group is captured lattice-theoretically and nilpotent groups are characterized by lattice properties.

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网格框架中的无势群

在弱全等网格的框架内，迄今已有许多类群完全以网格理论的形式被表征出来。在本注释中，将从格论角度来捕捉群的中心，并通过格的性质来表征零能群。

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

Algebra Universalis 数学-数学

CiteScore

1.00

自引率

16.70%

发文量

审稿时长

3 months

期刊介绍： Algebra Universalis publishes papers in universal algebra, lattice theory, and related fields. In a pragmatic way, one could define the areas of interest of the journal as the union of the areas of interest of the members of the Editorial Board. In addition to research papers, we are also interested in publishing high quality survey articles.