The commutative Moufang loops with maximum conditions for subloops

zbMATH Open1121.20049arXiv0804.3960MaRDI QIDQ3417315

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Publication date: 29 January 2007

Abstract: 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.

Full work available at URL: https://arxiv.org/abs/0804.3960

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