(Co-)fibration of generalized crossed modules

GÜLSÜN AKAY H.

AIMS MATHEMATICS, vol.9, no.11, pp.32782-32796, 2024 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 9 Issue: 11
  • Publication Date: 2024
  • Doi Number: 10.3934/math.20241568
  • Journal Name: AIMS MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
  • Page Numbers: pp.32782-32796
  • Eskisehir Osmangazi University Affiliated: Yes

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.