3 citations · 3 across the 3 of their papers we have counts for
5 papers
*-Jordan-type maps on alternative *-algebras
Aline J. O. Andrade, Bruno L. M. Ferreira, Liudmila Sabinina
Let A and A' be two alternative *-algebras with identities 1_A and 1_A', respectively, and e_1 and e_2 = 1_A - e_1 nontrivial symmetric idempotents in A. In this paper we study the…
The Restricted Burnside Problem for Moufang Loops
Alexander Grishkov, Liudmila Sabinina, Efim Zelmanov
We prove that for positive integers and a prime number there are finitely many finite -generated Moufang loops of exponent .
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…
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…
Malcev algebras corresponding to smooth Almost Left Automorphic Moufang Loops
Ramiro Carrillo-Catalán, Marina Rasskazova, Liudmila Sabinina
In this note we introduce the concept of an almost left automorphic Moufang loop and study the properties of tangent algebras of smooth loops of this class.