Liftings of Crossed Modules in the Category of Groups with Operations
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, cilt.38, sa.7, ss.181-193, 2020 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 38 Sayı: 7
- Basım Tarihi: 2020
- Doi Numarası: 10.5269/bspm.v38i7.46500
- Dergi Adı: BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
- Sayfa Sayıları: ss.181-193
- Erciyes Üniversitesi Adresli: Evet
Özet
In this paper we define the notion of lifting of a crossed module via the morphism in groups with operations and give some properties of this type of liftings. Further we prove that the lifting crossed modules of a certain crossed module are categorically equivalent to the internal groupoid actions on groups with operations, where the internal groupoid corresponds to the crossed module.