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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Quasi-e-locally cyclic torsion-free abelian groups
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by Manfred Dugas and C. J. Maxson PDF
Proc. Amer. Math. Soc. 133 (2005), 3447-3453 Request permission

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
  • Email: Manfred_Dugas@baylor.edu
  • C. J. Maxson
  • Affiliation: Department of Mathematics, Texas A&M University, College Station, Texas 77843
  • Email: cjmaxson@math.tamu.edu
  • 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
  • © Copyright 2005 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 3447-3453
  • MSC (2000): Primary 20K30; Secondary 16Y30
  • DOI: https://doi.org/10.1090/S0002-9939-05-08226-2
  • MathSciNet review: 2163578