Geodesic
Triple division systems
Algebra i logika, Tome 6 (1967) no. 1, pp. 69-81.

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The systems under consideration are the systems with two operations-binary (addition) and triple (double multiplication). A weak condition of associativity is proposed. We classify real finite-dimensional triple division systems, which are in natural way. 
@article{AL_1967_6_1_a7,
     author = {E. N. Kuzmin},
     title = {Triple division systems},
     journal = {Algebra i logika},
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     publisher = {mathdoc},
     volume = {6},
     number = {1},
     year = {1967},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_1967_6_1_a7/}
}
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E. N. Kuzmin. Triple division systems. Algebra i logika, Tome 6 (1967) no. 1, pp. 69-81. http://geodesic.mathdoc.fr/item/AL_1967_6_1_a7/