The commutative Moufang loops with minimum conditions for subloops II
arXiv:0804.3958
Abstract
It is proved that the following conditions are equivalent for an infinite non-associative commutative Moufang loop : 1) satisfies the minimum condition for subloops; 2) if the loop contains a centrally solvable subloop of class , then it satisfies the minimum condition for centrally solvable subloops of class ; 3) if the loop contains a centrally nilpotent subloop of class , then it satisfies the minimum condition for centrally nilpotent subloops of class ; 4) satisfies the minimum condition for non-invatiant associative subloops. The structure of the commutative Moufang loops, whose infinite non-associative subloops are normal, is examined.
18 pages