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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.

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
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