Generalized crossed modules and group-groupoids
TURKISH JOURNAL OF MATHEMATICS, cilt.41, sa.6, ss.1535-1551, 2017 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 41 Sayı: 6
- Basım Tarihi: 2017
- Doi Numarası: 10.3906/mat-1602-63
- Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.1535-1551
- İnönü Üniversitesi Adresli: Evet
Özet
In this present work, we present the concept of a crossed module over generalized groups and we call it a "generalized crossed module". We also define a generalized group-groupoid. Furthermore, we show that the category of generalized crossed modules is equivalent to that of generalized group-groupoids whose object sets are abelian generalized group.