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Quasi-e-locally cyclic torsion-free abelian groups

Authors: Manfred Dugas and C. J. Maxson
Journal: Proc. Amer. Math. Soc. 133 (2005), 3447-3453
MSC (2000): Primary 20K30; Secondary 16Y30
Published electronically: June 28, 2005
MathSciNet review: 2163578
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Abstract: For a torsion-free abelian group $A$, we investigate the problem of determining when $End(A)$ is maximal as a ring in the near-ring of all $0$-preserving functions on $A$. We introduce the concept of quasi-$End(A)$-locally cyclic groups and determine several properties of these abelian groups.

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Additional Information

Manfred Dugas
Affiliation: Department of Mathematics, Baylor University, Waco, Texas 76798

C. J. Maxson
Affiliation: Department of Mathematics, Texas A&M University, College Station, Texas 77843

Keywords: Torsion-free groups, endomorphism rings, near-ring of mappings
Received by editor(s): July 15, 2004
Published electronically: June 28, 2005
Additional Notes: This paper was written in part while the second author was visiting the mathematics department of the University of Stellenbosch, South Africa. The gracious hospitality received during this visit is gratefully acknowledged.
Communicated by: Lance W. Small
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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