Coverings and liftings of generalized crossed modules
[ X ]
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Shahid Beheshti University
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the theory of crossed modules, considering arbitrary self-actions instead of conjugation allows for the extension of the concept of crossed modules and thus the notion of generalized crossed module emerges. In this paper we give a precise definition for generalized cat1-groups and obtain a functor from the category of generalized cat1-groups to generalized crossed modules. Further, we introduce the notions of coverings and liftings for generalized crossed modules and investigate properties of these structures. Main objective of this study is to obtain an equivalence between the category of coverings and the category of liftings of a given generalized crossed module (A, B, alpha).
Açıklama
Anahtar Kelimeler
Generalized Crossed Module, Generalized Cat(1)-Group, Coveringlifting
Kaynak
Categories and General Algebraic Structures with Applications
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
17
Sayı
1
