arXiv 0804.39602008-04-24math.RA

The commutative Moufang loops with maximum conditions for subloops

A. Babiy, N. Sandu

备注：: 10 pages
发表信息：: Buletinul Academiei de Stiinte a Republicii Moldova. Matematica, 2006, 2(51), pp. 53-61

英文摘要：

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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