From cssc-crossed modules to categorical groups
Advanced Studies: Euro-Tbilisi Mathematical Journal, cilt.17, sa.3, ss.1-24, 2024 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 17 Sayı: 3
- Basım Tarihi: 2024
- Doi Numarası: 10.32513/asetmj/1932200824026
- Dergi Adı: Advanced Studies: Euro-Tbilisi Mathematical Journal
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.1-24
- Anahtar Kelimeler: group up to congruence relation, c-crossed module, categorical group
- Erciyes Üniversitesi Adresli: Evet
Özet
For any cssc-crossed module a category is constructed, equipped with a structure and proved that this is a coherent categorical group. Together with a result of the previous paper, where to any categorical group the cssc-crossed module is associated, this construction will enable us to prove an equivalence between the categories of categorical groups and of cssc-crossed modules in the sequel to this paper.