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arxiv: 1510.03395 · v1 · pith:PMWSANT3new · submitted 2015-10-12 · 🧮 math.GR

An introduction to loopoids

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keywords loopoidsbrandtcallclassconceptdifferentialdiscretediscuss
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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.

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