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Quasi-e-locally cyclic torsion-free abelian groups
Authors:Manfred Dugas   C. J. Maxson
Affiliation:Department of Mathematics, Baylor University, Waco, Texas 76798 ; Department of Mathematics, Texas A&M University, College Station, Texas 77843
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.

Keywords:Torsion-free groups   endomorphism rings   near-ring of mappings
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