This article is cited in 1 paper

Commutative Moufang loops with maximum conditions for subloops

A. Babiy, N. Sandu

Tiraspol State University, Chişinău, Moldova

Abstract: 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.

Keywords and phrases: Commutative Moufang loop, multiplication group of loop, maximum condition for subloops.

MSC: 20N05

Received: 03.03.2006

Language: English

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