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math.GR2017
Automorphic loops arising from module endomorphisms
Alexandr Grishkov, Marina Rasskazova, Petr Vojtěchovský
A loop is automorphic if all its inner mappings are automorphisms. We construct a large family of automorphic loops as follows. Let be a commutative ring, an -module, $E…
math.GR2017
Moufang Theorem for a variety of local non-Moufang loops
Ramiro Carrillo-Catalán, Liudmila Sabinina, Marina Rasskazova
An open problem in theory of loops is to find the variety of non- Moufang loops satisfying the Moufang Theorem. In this note, we present a variety of local smooth diassociative loo…