Cat1-polygroups and pullback cat1-polygroups
In this paper, we give the notions of crossed polymodule and cat1-polygroup as a generalization of Loday's definition. Then, we define the pullback cat1-polygroup and we obtain some results in this respect. Specially, we prove that by a pullback cat1- polygroup we can obtain a cat1-group. © 2014 Iranian Mathematical Society.