FPM 2010, vol. 16, no. 8, pp. 245-261

FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2010, VOLUME 16, NUMBER 8, PAGES 245-261

On prime radicals and wreath products of partially ordered groups

E. E. Shirshova

Abstract

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The notion of a wreath product for partially ordered groups is considered. A series of results on semidirect products of $$ \mathcal {AO} $$ -groups and interpolation groups is obtained. Some results are obtained concerning prime radicals of directed groups.

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