Hokkaido Mathematical Journal

Mixed basic subgroups

Takashi OKUYAMA

Full-text: Open access

Abstract

Every torsion abelian group has basic subgroups and all its basic subgroups are isomorphic. We extend the concept of basic subgroups from torsion abelian groups to arbitrary abelian groups. The generalized basic subgroups are called mixed basic subgroups. An example of a mixed group is given in which not all mixed basic subgroups are isomorphic. This example also shows that a mixed basic subgroup of a splitting group need not be splitting.

Article information

Source
Hokkaido Math. J., Volume 35, Number 2 (2006), 427-436.

Dates
First available in Project Euclid: 29 September 2010

Permanent link to this document
https://projecteuclid.org/euclid.hokmj/1285766363

Digital Object Identifier
doi:10.14492/hokmj/1285766363

Mathematical Reviews number (MathSciNet)
MR2254658

Zentralblatt MATH identifier
1107.20048

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

Keywords
mixed basic subgroup purifiable subgroup T--high subgroup splitting group

Citation

OKUYAMA, Takashi. Mixed basic subgroups. Hokkaido Math. J. 35 (2006), no. 2, 427--436. doi:10.14492/hokmj/1285766363. https://projecteuclid.org/euclid.hokmj/1285766363


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