Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
The commutative Moufang loops with minimum conditions for subloops II.
Authors: N.I. Sandu
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Abstract
It is proved that the following conditions are equivalent for an infinite nonassociative commutative Moufang loop Q:- Q satisfies the minimum condition for subloops;
- if the loop Q contains a centrally solvable subloop of class s, then it satisfies the minimum condition for centrally solvable subloops of class s;
- f the loop Q contains a centrally nilpotent subloop of class n, then it satisfies the minimum condition for centrally nilpotent subloops of class n;
- Q satisfies the minimum condition for noninvariant associative subloops. The structure of the commutative Moufang loops, whose infinite nonassociative subloops are normal is examined;
Tiraspol State University
str.Iablochkin 5 Chisinau,
MD-2069 Moldova
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str.Iablochkin 5 Chisinau,
MD-2069 Moldova
E-mail:
Fulltext
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Contents
- About one explicit-difference scheme for solving the plane problem for two-component medium.
- Classification of planar quadratic differential systems with center of symmetry and multiple infinite singular point.
- Cyclic planar random evolution with four directions.
- The commutative Moufang loops with minimum conditions for subloops II.
- On orders of elements in quasigroups.
- Flow induced by a constantly accelerating plate in a Maxwell fluid.
- Method and Studying Abel's Equation with the one known solution.
- Discrete optimal control problems on networks and dynamic games with p players.
- On I-radicals.
- On natural classes of R-modules in the language of ring R.
- Financial programming model and sustainable development.
- The Schauder basis in symmetrically normed ideals of operators.
