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Published:2011-04 Issue:02 Volume:10 Page:357-363
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

ALBRECHT ULRICH¹,BREAZ SIMION²,WICKLESS WILLIAM³

Affiliation:

1. Department of Mathematics, Auburn University, Auburn, AL 36849, USA

2. "Babeş-Bolyai" University, Faculty of Mathematics and Computer Science, Str. Mihail Kogălniceanu 1, 400084 Cluj-Napoca, Romania

3. Department of Mathematics, University of Connecticut, Storrs CT 06269, USA

Abstract

The main result of this paper gives several characterizations for Abelian groups A to have the property that the class of A-adstatic modules is closed with respect to submodules of bounded index. Especially, a group has this property if and only if it is flat and faithful with respect to torsion when viewed as a left module over its endomorphism ring.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498811004732

Reference4 articles.

1. Endomorphism Rings of Faithfully Flat Abelian Groups

2. A-Solvability and Mixed Abelian Groups

3. Endomorphism rings and subgroups of finite rank torsion-free Abelian groups

4. Primary abelian groups as modules over their endomorphism rings

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Closure properties associated to natural equivalences;Indagationes Mathematicae;2013-03

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