Hokkaido Mathematical Journal

Splitting mixed groups of torsion-free finite rank II

Takashi OKUYAMA

Full-text: Open access

Abstract

First we introduce the concept of QD-hulls in arbitrary abelian groups. Then we use the concept to give a new characterization of purifiable torsion-free finite rank subgroups of an arbitrary abelian group. Finally we use it to formulate a splitting criterion for mixed groups of torsion-free finite rank.

Article information

Source
Hokkaido Math. J., Volume 42, Number 3 (2013), 331-343.

Dates
First available in Project Euclid: 12 November 2013

Permanent link to this document
https://projecteuclid.org/euclid.hokmj/1384273385

Digital Object Identifier
doi:10.14492/hokmj/1384273385

Mathematical Reviews number (MathSciNet)
MR3137388

Zentralblatt MATH identifier
1280.20060

Subjects
Primary: 20K21: Mixed groups 20K27: Subgroups

Keywords
Splitting mixed group QD-hull purifiable subgroup vertical subgroup N-high subgroup n-th p-overhang

Citation

OKUYAMA, Takashi. Splitting mixed groups of torsion-free finite rank II. Hokkaido Math. J. 42 (2013), no. 3, 331--343. doi:10.14492/hokmj/1384273385. https://projecteuclid.org/euclid.hokmj/1384273385


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