Generalized crossed modules and group-groupoids


GÜRSOY M. H. , ASLAN H., İÇEN İ.

TURKISH JOURNAL OF MATHEMATICS, cilt.41, ss.1535-1551, 2017 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 41 Konu: 6
  • Basım Tarihi: 2017
  • Doi Numarası: 10.3906/mat-1602-63
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.1535-1551

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.