On $Q$-dense and densely divisible $\textrm {LCA}$ groups
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- by D. L. Armacost and W. L. Armacost PDF
- Proc. Amer. Math. Soc. 36 (1972), 301-305 Request permission
Abstract:
In this note the structure of those LCA groups containing a dense subgroup isomorphic to the additive group of rational numbers is investigated. As a result of this investigation, it is shown that an LCA group containing a dense divisible subgroup of finite rank must be divisible.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 36 (1972), 301-305
- MSC: Primary 22B05
- DOI: https://doi.org/10.1090/S0002-9939-1972-0306401-7
- MathSciNet review: 0306401