an:00067224
Zbl 0747.22002
Sabinin, L. V.
Smooth hyporeductive loops
EN
Webs and quasigroups. (``Nonlinear geometric algebra-89''), Tver', 129-137 (1991).
1991
a
22A22 20N05 53A60 22A30
smooth left hyporeductive loops; left Bol loops; vector fields
[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.
A.M.Shelekhov (Tver')
Zbl 0742.00044