NDLI: Torsion-Free Abelian Groups with Prescribed Finitely Topologized Endomorphism Rings

Content Provider	Scilit
Author	Rüdiger Göbel Dugas, Manfred
Copyright Year	1984
Description	We will show that any complete Hausdorff ring which admits, as a basis of neighborhoods of 0, a family of right ideals with cotorsion-free can be realized as a topological endomorphism ring of some torsion-free abelian group with the finite topology. This theorem answers a question of A. L. S. Corner (1967) and can be used to provide examples in order to solve a problem (No. 72) in L. Fuchs' book on abelian groups.
Related Links	http://www.ams.org/proc/1984-90-04/S0002-9939-1984-0733399-8/S0002-9939-1984-0733399-8.pdf
Ending Page	527
Page Count	9
Starting Page	519
ISSN	00029939
e-ISSN	10886826
DOI	10.2307/2045023
Journal	Proceedings of the American Mathematical Society
Issue Number	4
Volume Number	90
Language	English
Publisher	Duke University Press
Access Restriction	Open
Subject Keyword	Logic Torsion Free Free Abelian Abelian Groups Prescribed Finitely Endomorphism Rings Topologized Endomorphism Finitely Topologized
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Torsion-Free Abelian Groups with Prescribed Finitely Topologized Endomorphism Rings