NDLI: Invariants for a Class of Torsion-Free Abelian Groups

Content Provider	Scilit
Author	Arnold, D. Vinsonhaler, C.
Copyright Year	1989
Description	In this note we present a complete set of quasi-isomorphism invariants for strongly indecomposable abelian groups of the form . Here are subgroups of the rationals and is the kernel of , where . The invariants are the collection of numbers , where ranges over all subsets of the type lattice generated by . Our results generalize the classical result of Baer for finite rank completely decomposable groups, as well as a result of F. Richman on a subset of the groups of the form .
Related Links	http://www.ams.org/proc/1989-105-02/S0002-9939-1989-0935102-X/S0002-9939-1989-0935102-X.pdf
Ending Page	300
Page Count	8
Starting Page	293
ISSN	00029939
e-ISSN	10886826
DOI	10.2307/2046939
Journal	Proceedings of the American Mathematical Society
Issue Number	2
Volume Number	105
Language	English
Publisher	Duke University Press
Access Restriction	Open
Subject Keyword	Logic Mathematical Physics Invariants Abelian Groups Class Torsion Free Abelian
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Invariants for a Class of Torsion-Free Abelian Groups