Geodesic
The commutative Moufang loops with minimum conditions for subloops~I
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2003), pp. 25-40

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The structure of the commutative Moufang loops (CML) with minimum condition for subloops is examined. In particular it is proved that such a CML $Q$ is a finite extension of a direct product of a finite number of the quasicyclic groups, lying in the centre of the CML $Q$. It is shown that the minimum conditions for subloops and for normal subloops are equivalent in a CML. Moreover, such CML also characterized by different conditions of finiteness of its multiplicative groups. 
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     author = {N. I. Sandu},
     title = {The commutative {Moufang} loops with minimum conditions for {subloops~I}},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {25--40},
     publisher = {mathdoc},
     number = {3},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2003_3_a2/}
}
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N. I. Sandu. The commutative Moufang loops with minimum conditions for subloops~I. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2003), pp. 25-40. http://geodesic.mathdoc.fr/item/BASM_2003_3_a2/