Vol. 56, No. 1, 1975

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 331: 1  2
Vol. 330: 1  2
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Vol. 324: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN 1945-5844 (electronic)
ISSN 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
Abelian groups, A, such that Hom(A,−−−) preserves direct sums of copies of A

David Marion Arnold and Charles Estep Murley

Vol. 56 (1975), No. 1, 7–20
Abstract

An R-module, A, is self-small if Hom(A,) preserves direct sums of copies of A. Various conditions on the endomorphism ring of a module which guarantee that it is self-small are studied. Various results are proved about subgroups of direct sums or direct products of copies of a self-small abelian group A, which generalize results previously known when A is torsion free of rank one.

Mathematical Subject Classification 2000
Primary: 20K25
Milestones
Received: 14 November 1973
Revised: 4 December 1973
Published: 1 January 1975
Authors
David Marion Arnold
Charles Estep Murley