Endomorphism rings and direct sums of torsion free abelian groups-Reference-Cited by-同舟云学术

Endomorphism rings and direct sums of torsion free abelian groups

Published:1975 Issue:0 Volume:211 Page:225-237
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Arnold D. M.,Lady E. L.

Abstract

Properties of abelian groups related to a given finite rank torsion free abelian group A are analyzed in terms of End (A), the endomorphism ring of A. This point of view gives rise to generalizations of some classical theorems by R. Baer and examples of pathological direct sum decompositions of finite rank torsion free abelian groups.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1975-211-00/S0002-9947-1975-0417314-1/S0002-9947-1975-0417314-1.pdf

Reference17 articles.

1. Grothendieck and Whitehead groups of torsion free abelian groups;Arnold, David M.;Bull. Amer. Math. Soc.,1973

2. Abelian groups without elements of finite order;Baer, Reinhold;Duke Math. J.,1937

3. Torsion free groups of rank two;Beaumont, R. A.;Mem. Amer. Math. Soc.,1961

4. Sous-groupes fonctoriels et topologies;Charles, Bernard,1968

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