paper

The commutative Moufang loops with maximum conditions for subloops

arXiv:0804.3960

Abstract

It is proved that the maximum condition for subloops in a commutative Moufang loop is equivalent with the conditions of finite generating of different subloops of the loop and different subgroups of the multiplication group of the loop . An analogue equivalence is set for the commutative Moufang -loops.

10 pages

The commutative Moufang loops with maximum conditions for subloops · wovepaper