The commutative Moufang loops with minimum conditions for subloops

@inproceedings{Sandu2008TheCM,
  title={The commutative Moufang loops with minimum conditions for subloops},
  author={N. I. Sandu},
  year={2008}
}
  • N. I. Sandu
  • Published 2008
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. Mathematics subject… CONTINUE READING

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