Characterizing the commutator in varieties with a difference term

IF 0.6 4区数学 Q3 MATHEMATICS

Algebra Universalis Pub Date : 2022-04-06 DOI:10.1007/s00012-022-00772-7

Keith A. Kearnes, Ágnes Szendrei, Ross Willard

引用次数: 3

Abstract

We extend the validity of Kiss’s characterization of “\([\alpha ,\beta ]=0\)” from congruence modular varieties to varieties with a difference term. This fixes a recently discovered gap in our paper Kearnes et al. (Trans Am Math Soc 368:2115–2143, 2016). We also prove some related properties of Kiss terms in varieties with a difference term.

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用差分项表示换向器的变化特性

我们将Kiss对“\（[\alpha，\beta]=0\）”的刻画的有效性从同余模变种扩展到具有差项的变种。这弥补了我们的论文Kearnes等人最近发现的一个空白。（Trans-Am Math Soc 368:2115–21432016）。我们还证明了Kiss项在具有差项的变种中的一些相关性质。

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.