Generalized crossed modules and group-groupoids

GÜRSOY M. H., ASLAN H., İÇEN İ.

TURKISH JOURNAL OF MATHEMATICS, cilt.41, sa.6, ss.1535-1551, 2017 (SCI-Expanded) identifier identifier

  • 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.