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The theory of smooth hyporeductive and pseudoreductive loops. (English) Zbl 0874.20048
The author introduces the notions of hyporeductive and pseudoreductive loops defined by some particular identities and develops a kind of the “Lie theory” for these objects, i.e. finds a correspondence between these loops and some algebras with identities.

MSC:
20N05 Loops, quasigroups
22A22 Topological groupoids (including differentiable and Lie groupoids)
53A60 Differential geometry of webs
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