Liftings and covering morphisms of crossed modules in group-group oids
TURKISH JOURNAL OF MATHEMATICS, cilt.45, sa.3, ss.1407-1417, 2021 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 45 Sayı: 3
- Basım Tarihi: 2021
- Doi Numarası: 10.3906/mat-2102-56
- Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.1407-1417
- Erciyes Üniversitesi Adresli: Evet
Özet
In this work we introduce lifting and covering of a crossed module in the category of group-group oids; and then we prove the categorical equivalence of horizontal actions of a double group-group oid and lifting crossed modules of corresponding crossed module in group-group oids. These allow us to produce more examples of double group-groupoids.