Finite rank torsion-free abelian groups uniserial over their endomorphism rings
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- by Jutta Hausen PDF
- Proc. Amer. Math. Soc. 93 (1985), 227-231 Request permission
Abstract:
An abelian group is $E$-uniserial if its lattice of fully invariant subgroups is totally ordered. Finite rank torsion-free reduced $E$-uniserial groups are characterized. Such a group is a free module over the center $C$ of its endomorphism ring, and $C$ is a strongly indecomposable discrete valuation ring. Properties similar to those of strongly homogeneous groups are derived.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 93 (1985), 227-231
- MSC: Primary 20K15
- DOI: https://doi.org/10.1090/S0002-9939-1985-0770526-1
- MathSciNet review: 770526