4 papers
Free Bol loops of exponent two
Alexandre Grishkov, Marina Rasskazova, Giliard Souza dos Anjos
A Bol loop is a loop that satisfies the identity . In this paper, we give a construction of the free Bol loops of exponent two. We define a canonical form of all…
On Malcev algebras nilpotent by Lie center and corresponding analytic Moufang loops
Alexander Grishkov, Marina Rasskazova, Liudmila Sabinina +1
In this note we describe the structure of finite dimensional Malcev algebras over a field of real numbers , which are nilpotent module its Lie center. It is proved that…
Representations of code loops by binary codes
Rosemary Miguel Pires, Alexandre Grishkov, Marina Rasskazova
Code loops are Moufang loops constructed from doubly even binary codes. Then, given a code loop L, we ask which doubly even binary code V produces L. In this sense, V is called a r…
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…