Geodesic
Prime radicals of $AO$-groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 8, pp. 197-206.

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The notion of the prime radical for a directed group is considered. A series of results on commutants of AO-groups is obtained. Prime radicals of AO-groups are described. 
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A. V. Mikhalev; E. E. Shirshova. Prime radicals of $AO$-groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 8, pp. 197-206. http://geodesic.mathdoc.fr/item/FPM_2006_12_8_a9/

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