MMN-755
On Green's equivalences in $\Gamma$-groupoids
Abstract
The main purpose of this paper is to extend Green’s Lemma to
suitably restricted $\Gamma$-groupoids which are a generalization of groupoids. We
study only $\Gamma$-groupoids satisfying some additional conditions. We show that
these are sufficient for the formulation of Green’s equivalences in case of $\Gamma$-
groupoids and we find additional condition sufficient to prove Green’s Lemma
for $\Gamma$-groupoids and several examples are presented.
Vol. 15 (2014), No. 2, pp. 489-496