11 citations · 39 across the 13 of their papers we have counts for
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Moufang symmetry VI. Reductivity and hidden associativity in Mal'tsev algebras
Eugen Paal
Reductivity in the Ma'tsev algebras is inquired. This property relates the Mal'tsev algebras to the general Lie triple systems.
Moufang symmetry X. Generalized Lie and Maurer-Cartan equations of continuous Moufang transformations
Eugen Paal
The differential equations for a continuous birepresentation of a local analytic Moufang loop are established. The commutation relations for the infinitesimal operators of the repr…
Moufang symmetry VII. Moufang transformations
Eugen Paal
Concept of a birepresentation for the Moufang loops is elaborated.
Moufang symmetry VIII. Reconstruction of Moufang loops
Eugen Paal
Reconstruction theorem for the Moufang loops is proved.
Moufang symmetry V. Triple closure
Eugen Paal
Triple closure of the infinitesimal translations of an analytic Moufang loop is inquired. This property is equivalent to reductivity and relates Mal'tsev algebras to the Lie triple…
Moufang symmetry XII. Reductivity and hidden associativity of infinitesimal Moufang transformations
Eugen Paal
It is shown how integrability of the generalized Lie equations of continous Moufang transformatiosn is related to the reductivity conditions and Sagle-Yamaguti identity.