%0 Journal Article %T An introduction to loopoids %A Janusz Grabowski %J Mathematics %D 2015 %I arXiv %X We discuss a concept of loopoid as a non-associative generalization of (Brandt) groupoid. We introduce and study also an interesting class of more general objects which we call semiloopoids. A differential version of loopoids is intended as a framework for Lagrangian discrete mechanics. %U http://arxiv.org/abs/1510.03395v1