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.
Groupoid, crossed module, generalized group
GÜRSOY, MUSTAFA HABİL; ASLAN, HATİCE; and İÇEN, İLHAN
"Generalized crossed modules and group-groupoids,"
Turkish Journal of Mathematics: Vol. 41:
6, Article 14.
Available at: https://journals.tubitak.gov.tr/math/vol41/iss6/14