Geodesic
Commutative Moufang loops with maximum conditions for subloops
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2006), pp. 53-61 
A. Babiy; N. Sandu. Commutative Moufang loops with maximum conditions for subloops. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2006), pp. 53-61. http://geodesic.mathdoc.fr/item/BASM_2006_2_a5/
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that the maximum condition for subloops in a commutative Moufang loop $Q$ is equivalent with conditions of the 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 commutative Moufang $ZA$-loops.

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[5] Sandu N. I., “Commutative Moufang Loops with Minimum Condition for Subloops, II”, Buletinul Academiei de Ştiinţe a Republicii Moldova, Matematica, 2004, no. 2(45), 33–48 | MR | Zbl

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