- 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

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- On natural classes of R-modules in the language of ring R.
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