%0 Journal Article
%T Actions of vector groupoids
%J Bulletin of the Iranian Mathematical Society
%I Springer and the Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Gursoy, Mustafa Habil
%D 2014
%\ 06/01/2014
%V 40
%N 3
%P 565-583
%! Actions of vector groupoids
%K Groupoid
%K action
%K crossed module
%K vector groupoids
%R
%X In this work we deal with actions of vector groupoid which is a new concept in the literature. After we give the definition of the action of a vector groupoid on a vector space, we obtain some results related to actions of vector groupoids. We also apply some characterizations of the category and groupoid theory to vector groupoids. As the second part of the work, we define the notion of a crossed module over a vector groupoid. Finally, we show that the category $mathcal{VG}$ of the vector groupoids is equivalent to the category $mathcal{CM}odmathcal{VG}$ of the crossed modules over a vector groupoid.
%U http://bims.iranjournals.ir/article_516_a061a08b4f697cdd15e357519ec9d8fc.pdf