Janusz Grabowski
An introduction to loopoids

Comment.Math.Univ.Carolin. 57,4 (2016) 515-526.

Abstract:We discuss a concept of \emph{loopoid} as a non-associative generalization of Brandt groupoid. We introduce and study also an interesting class of more general objects which we call \emph{semiloopoids}. A differential version of loopoids is intended as a framework for Lagrangian discrete mechanics.

Keywords: group; Brandt groupoid; Lie group; loop; transversals; discrete mechanics

DOI: DOI 10.14712/1213-7243.2015.184
AMS Subject Classification: 20L05 20N05 22A22 22E15 22E60 58H05