Completely decomposable direct summands of torsion-free abelian groups of finite rank
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- by Adolf Mader and Phill Schultz PDF
- Proc. Amer. Math. Soc. 146 (2018), 93-96 Request permission
Abstract:
Let $A$ be a finite rank torsion-free abelian group. Then there exist direct decompositions $A=B\oplus C$ where $B$ is completely decomposable and $C$ has no rank 1 direct summand. In such a decomposition $B$ is unique up to isomorphism and $C$ is unique up to near-isomorphism.References
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Additional Information
- Adolf Mader
- Affiliation: Department of Mathematics, University of Hawaii at Manoa, 2565 McCarthy Mall, Honolulu, Hawaii 96922
- MR Author ID: 117805
- Email: adolf@math.hawaii.edu
- Phill Schultz
- Affiliation: School of Mathematics and Statistics, The University of Western Australia, Nedlands, WA, Australia, 6009
- MR Author ID: 157160
- Email: phill.schultz@uwa.edu.au
- Received by editor(s): January 11, 2017
- Received by editor(s) in revised form: February 19, 2017
- Published electronically: September 27, 2017
- Communicated by: Lev Borisov
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 93-96
- MSC (2010): Primary 20K15, 20K25
- DOI: https://doi.org/10.1090/proc/13732
- MathSciNet review: 3723123