Actions of internal groupoids in the category of leibniz algebras
Yükleniyor...
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Ankara Üniversitesi
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The aim of this paper is to characterize the notion of internal category (groupoid) in the category of Leibniz algebras and investigate some properties of well-known notions such as covering groupoids and groupoid operations (actions) in this category. Further, for a fixed internal groupoid G in the category of Leibniz algebras, we prove that the category of covering groupoids of G and the category of internal groupoid actions of G on Leibniz algebras are equivalent. Finally, we interpret the corresponding notion of covering groupoids in the category of crossed modules of Leibniz algebras.
Açıklama
Anahtar Kelimeler
Leibniz Algebra, Groupoid Action, Covering
Kaynak
Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
68
Sayı
1
