The commutative Moufang loops with maximum conditions for subloops

Details The commutative Moufang loops with maximum conditions for subloops The commutative Moufang loops with maximum conditions for subloops

2008-04-24

arxiv.org/abs/0804.3960v1

Buletinul Academiei de Stiinte a Republicii Moldova. Matematica, 2006, 2(51), pp. 53-61

Mathematics

Rings and Algebras

10 pages

Scientific paper

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

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