Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
The commutative Moufang loops with minimum conditions for subloops I. (English)
Authors: N.I. Sandu
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Abstract
The structure of the commutative Moufang loops (CML) with minimum condition for subloops is examined. In particular it is proved that such a CML Q is a finite extension of a direct product of a finite number of the quasicyclic groups, lying in the centre of the CML Q. It is shown that the minimum conditions for subloops and for normal subloops are equivalent in a CML. Moreover, such CML also characterized by different conditions of finiteness of its multiplicative groups.State Agrarian University of Moldova
str. Mirceshti 44, Kishinev,
MD-2028, Moldova
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str. Mirceshti 44, Kishinev,
MD-2028, Moldova
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Fulltext
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Contents
- Bieberbach-Auslander Theorem and Dinamics in Symmetric Spaces. (English)
- On some Hypergroups and their Hyperlattice Structures. (English)
- The commutative Moufang loops with minimum conditions for subloops I. (English)
- Weak convergence of the distributions of Marcovian random evolutions in two and three dimensions. (English)
- On a nonlinear differential subordination I. (English)
- Invariant conditions for the dimensions of the GL(2,R)-orbits for one differential cubic system. (English)
- X-normal mappings. (English)
- Approximate solution of the Dirichlet problem in a circle. (English)
- On Riemann extension of the Schwarzschild metric. (English)
- On regularization of singular operators with Carleman shift. (English)
- The document class for "Buletinul Academiei de Stiinte a Republicii Moldova. Matematica". (English)
