关于群-2-类群的进一步说明

IF 0.6 Q3 MATHEMATICS

Applied general topology Pub Date : 2021-04-01 DOI:10.4995/AGT.2021.13148

Sedat Temel

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引用次数: 0

摘要

本文的目的是在群的范畴中得到一个群-2群-类群的对象，同时在群-类群的范畴中得到一类特殊的内范畴。与群-群类群相对应，我们得到了交叉模和群-群类群相关的一些范畴结构，并证明了它们之间的范畴等价。这些结果使我们得到了群-群样的二维概念。2010 msc: 2005;18 d05;18 d35;20 j15。

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Further remarks on group-2-groupoids

The aim of this paper is to obtain a group-2-groupoid as a 2-groupoid object in the category of groups and also as a special kind of an internal category in the category of group-groupoids. Corresponding group2-groupoids, we obtain some categorical structures related to crossed modules and group-groupoids and prove categorical equivalences between them. These results enable us to obtain 2-dimensional notions of group-groupoids. 2010 MSC: 20L05; 18D05; 18D35; 20J15.

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来源期刊

Applied general topology MATHEMATICS-

CiteScore

1.20

自引率

25.00%

发文量

审稿时长

15 weeks

期刊介绍： The international journal Applied General Topology publishes only original research papers related to the interactions between General Topology and other mathematical disciplines as well as topological results with applications to other areas of Science, and the development of topological theories of sufficiently general relevance to allow for future applications. Submissions are strictly refereed. Contributions, which should be in English, can be sent either to the appropriate member of the Editorial Board or to one of the Editors-in-Chief. All papers are reviewed in Mathematical Reviews and Zentralblatt für Mathematik.