Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Free Moufang loops and alternative algebras.
Authors: N. I. Sandu
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Abstract
It is proved that any free Moufang loop can be embedded in to a loop of invertible elements of some alternative algebra. Using this embedding it is quite simple to prove the well-known result: if three elements of Moufang loop are bound by the associative law, then they generate an associative subloop. It is also proved that the intersection of the terms of the lower central series of a free Moufang loop is the identity and that a finitely generated free Moufang loop is Hopfian.E-mail:
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Contents
- Some extensions of the Buhlmann-Straub credibility formulae.
- Postoptimal analysis of multicriteria combinatorial center location problem.
- Flow of an Unsteady Dusty Visco-Elastic Fluid Between Two Moving Plates in Frenet-Frame Field System.
- On preradicals associated to principal functors of module categories. II
- On commutative Moufang loops with some restrictions for subloops and subgroups of its multiplication groups.
- Vector Form of the Finite Fields GF(pm)*.
- A lower bound for a quotient of roots of factorials.
- Some more results on b-Θ -open sets.
- Singular limits of solutions to the Cauchy problem for second order linear differential equations in Hilbert spaces.
- Free Moufang loops and alternative algebras.
- On π-quasigroups isotopic to abelian groups.
- Academician Vladimir Arnautov 70th anniversary.
- Academician Iurie Reabuhin 70th anniversary.
