2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/159700It 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.10 pagesRings and Algebras20N05text