On commutative Moufang loops with some restrictions for subloops and subgroups of its multiplication groups.
Authors: Natalia Lupashco
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Abstract
It is proved that if an infinite commutative Moufang loop L has such an infinite subloop H that in L every associative subloop which has with H an infinite intersection is a normal subloop then the loop L is associative. It is also proved that if the multiplication group M of infinite commutative Moufang loop L has such an infinite subgroup A that in M every abelian subgroup which has with A an infinite intersection is a normal subgroup then the loop L is associative.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.
