FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2000, VOLUME 6, NUMBER 3, PAGES 939-952

Homomorphisms which preserve $p$-disjointness

E. E. Shirshova

Abstract

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The natural homomorphism maps each pair of $p$-disjoint elements of a partially ordered group $G$ onto a pair of $p$-disjoint elements of a partially ordered group $G/M$. The homomorphisms which have that property are considered here. The purpose of this paper is to derive the standard homomorphism theorems for $pl$-groups.

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Last modified: December 8, 2000