FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2008, VOLUME 14, NUMBER 7, PAGES 209-

Splitting length of Abelian mixed groups of torsion-free rank $1$

Pham Thi Thu Thuy

Abstract

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Splitting length of a mixed Abelian group $G$ is defined as the smallest positive integer $n$ such that $$Äⁿ G splits. The task of determining the splitting length of mixed Abelian groups was formulated by Irwin, Khabbaz, and Rayna. In this paper, a criterion for determining whether $$Äⁿ G splits for countable mixed Abelian groups $G$ of torsion-free rank $1$ is found.

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