Sabinin, L. V. Smooth hyporeductive loops. (English) Zbl 0747.22002 Webs and quasigroups. (“Nonlinear geometric algebra-89”), Tver’, 129-137 (1991). [For the entire collection see Zbl 0742.00044.]The infinitesimal theory of smooth left hyporeductive loops generalizing the theory of left Bol loops is constructed. A system of special vector fields is connected with a left hyporeductive loop. Conversely, every such system determines a unique local smooth left hyporeductive loop. Reviewer: A.M.Shelekhov (Tver’) Cited in 1 ReviewCited in 3 Documents MSC: 22A22 Topological groupoids (including differentiable and Lie groupoids) 20N05 Loops, quasigroups 53A60 Differential geometry of webs 22A30 Other topological algebraic systems and their representations Keywords:smooth left hyporeductive loops; left Bol loops; vector fields Citations:Zbl 0742.00044 PDFBibTeX XMLCite \textit{L. V. Sabinin}, in: Webs and quasigroups. ``Nonlinear geometric algebra-89''. Tkani i kvazigruppy. ``Nelinejnaya geometricheskaya algebra-89''. Tver: Tver State University. 129--137 (1991; Zbl 0747.22002)