Generalized crossed modules and group-groupoids

Authors

MUSTAFA HABİL GÜRSOY
HATİCE ASLAN
İLHAN İÇEN

Abstract

In this present work, we present the concept of a crossed module over generalized groupsand we call it a "generalized crossed module". We also define a generalizedgroup-groupoid. Furthermore, we show that the category of generalized crossedmodules is equivalent to that of generalized group-groupoids whose object sets are abelian generalized group.

DOI

10.3906/mat-1602-63

Keywords

Groupoid, crossed module, generalized group

First Page

1535

Last Page

1551

Recommended Citation

GÜRSOY, M. H, ASLAN, H, & İÇEN, İ (2017). Generalized crossed modules and group-groupoids. Turkish Journal of Mathematics 41 (6): 1535-1551. https://doi.org/10.3906/mat-1602-63