Geodesic
The prime radical of $pl$-groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 2, pp. 193-199.

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The concept of prime radicals is important in the study of rings and groups. The purpose of this paper is to investigate a generalization of this concept to directed groups. Some results are obtained concerning convex directed subgroups of $AO$-groups. Prime radicals of $pl$-groups are described. 
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A. V. Mikhalev; E. E. Shirshova. The prime radical of $pl$-groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 2, pp. 193-199. http://geodesic.mathdoc.fr/item/FPM_2006_12_2_a12/

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