(Co-)fibration of generalized crossed modules

GÜLSÜN AKAY H.

AIMS MATHEMATICS, sa.11, ss.32782-32796, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2024
  • Doi Numarası: 10.3934/math.20241568
  • Dergi Adı: AIMS MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
  • Sayfa Sayıları: ss.32782-32796
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

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.