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Commutative Moufang loops with maximum conditions for subloops.
Authors: A. Babiy, N. Sandu
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Abstract
It is proved that the maximum condition for subloops in a commutative Moufang loop Q is equivalent with conditions of the finite generating of different subloops of the loop Q and different subgroups of the multiplication group of the loop Q. An analogue equivalence is set for commutative Moufang ZA-loops.E-mail:
Fulltext
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Contents
- Quotient rings of pseudonormed rings.
- Numerical treatment of the Kendall equation in the analysis of priority queueing systems.
- On the Division of Abstract Manifolds in Cubes.
- The numerical analysis of the tense condition of a solid body with the asymmetrical tensor of strains.
- On the coproducts of cyclics in commutative modular and semisimple group rings.
- Commutative Moufang loops with maximum conditions for subloops.
- Discontinuous term of the distribution for Markovian random evolution in R3.
- On an algebraic method in the study of integral equations with shift.
- On a family of Hamiltonian cubic planar differential systems.
- The solvability and properties of solutions of an integral convolutional equation.
- On commutative Moufang loops with some restrictions for subgroups of its multiplication groups.
- The property of universality for some monoid algebras over non-commutative rings.
- Junior spatial groups of (22'1)-symmetry.
