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FALL 2014 On separable $\widetilde{p}^{\alpha}$-bounded primary abelian groups
Patrick W. Keef
J. Commut. Algebra 6(3): 363-382 (FALL 2014). DOI: 10.1216/JCA-2014-6-3-363

Abstract

The notion of $\ppb \a$-boundedness is used to study several topics in the theory of separable abelian $p$-groups, including the torsion product of torsion-complete groups, the generalized core class property, and in the context of the constructible universe, groups whose socles are essentially finitely indecomposable as valuated vector spaces.

Citation

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Patrick W. Keef. "On separable $\widetilde{p}^{\alpha}$-bounded primary abelian groups." J. Commut. Algebra 6 (3) 363 - 382, FALL 2014. https://doi.org/10.1216/JCA-2014-6-3-363

Information

Published: FALL 2014
First available in Project Euclid: 17 November 2014

zbMATH: 1310.20044
MathSciNet: MR3278809
Digital Object Identifier: 10.1216/JCA-2014-6-3-363

Subjects:
Primary: 20K10 , 20K40

Keywords: bounded , core class property , Separable groups , valuated vector space

Rights: Copyright © 2014 Rocky Mountain Mathematics Consortium

Vol.6 • No. 3 • FALL 2014
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