Geodesic
An introduction to loopoids
Commentationes Mathematicae Universitatis Carolinae, Tome 57 (2016) no. 4, pp. 515-526.

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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.
DOI : 10.14712/1213-7243.2015.184
Classification : 20L05, 20N05, 22A22, 22E15, 22E60, 58H05
Keywords: group; Brandt groupoid; Lie group; loop; transversals; discrete mechanics 
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Grabowski, Janusz. An introduction to loopoids. Commentationes Mathematicae Universitatis Carolinae, Tome 57 (2016) no. 4, pp. 515-526. doi : 10.14712/1213-7243.2015.184. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2015.184/

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