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Research Article | Open Access

(Co-)fibration of generalized crossed modules

Department of Mathematics and Computer Science, Eskişehir Osmangazi University, 26040 Eskişehir, Turkey
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Abstract

Crossed modules are algebraic structures that generalize the concept of group extensions. They involve group-like objects (often groups or groupoids) with additional structure and mappings between them that satisfy certain properties. Generalized crossed modules further extend this concept to higher-dimensional settings or more general algebraic contexts. In this paper, we studied the fibration and co-fibration of generalized crossed modules.

Keywords

fibrationgeneralized crossed moduleinduced(co)-limitpullback
CLC number: 18A35, 18D30, 18G45

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AIMS Mathematics
Volume 9 Issue 11,
November 2024
Pages 32782-32796
DOI: 10.3934/math.20241568

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Cite this article:
Akay HG. (Co-)fibration of generalized crossed modules. AIMS Mathematics, 2024, 9(11): 32782-32796. https://doi.org/10.3934/math.20241568

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Received: 23 July 2024
Revised: 01 October 2024
Accepted: 01 November 2024
Published: 19 November 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)