A. V. Mikhalev, E. E. Shirshova, “The prime radical of <nobr>$pl$</nobr>-groups”, Fundam. Prikl. Mat., 2006, Volume 12, Issue 2,Pages <nobr>193

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The prime radical of $pl$-groups

A. V. Mikhalev^a, E. E. Shirshova^b

^a M. V. Lomonosov Moscow State University
^b Moscow State Pedagogical University

Abstract: 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.

UDC: 512.545