Hokkaido Mathematical Journal

On kernels of purifiability in arbitrary abelian groups

Takashi OKUYAMA

Full-text: Open access

Abstract

We determine the structure of a $p$-vertical[vertical] subgroup $A$ of an arbitrary abelian group $G$ such that every neat hull of $A$ is $p$-purifiable[purifiable] in $G$.

Article information

Source
Hokkaido Math. J., Volume 30, Number 1 (2001), 177-194.

Dates
First available in Project Euclid: 22 October 2012

Permanent link to this document
https://projecteuclid.org/euclid.hokmj/1350911930

Digital Object Identifier
doi:10.14492/hokmj/1350911930

Mathematical Reviews number (MathSciNet)
MR1815887

Zentralblatt MATH identifier
0984.20033

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

Keywords
kernel of purifiability purifiable subgroup almost-dense subgroup p-vertical subgroup kernel of purity

Citation

OKUYAMA, Takashi. On kernels of purifiability in arbitrary abelian groups. Hokkaido Math. J. 30 (2001), no. 1, 177--194. doi:10.14492/hokmj/1350911930. https://projecteuclid.org/euclid.hokmj/1350911930


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