FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2006, VOLUME 12, NUMBER 2, PAGES 193-199

The prime radical of pl-groups

A. V. Mikhalev
E. E. Shirshova

Abstract

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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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Last modified: June 17, 2006