Original Articles

TORSION-COMPLETENESS OVER DOMAINS WITH ONE DIMENSIONAL QUOTIENT FIELD

Published in: Quaestiones Mathematicae
Volume 14 , issue 2 , 1991 , pages: 217–225

DOI: 10.1080/16073606.1991.9631638

Author(s): L.M. Pretorius Department of Mathematics and Applied Mathematics, Republic of South Africa , M.J. Schoeman Department of Mathematics and Applied Mathematics, Republic of South Africa

Keywords: 13C99

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Abstract

The concept of torsion-complete abelian groups has already been generalized to modules Over domains. In this note recent results on R-completeness for modules over domains with one-dimensional quotient field are used to give characterizations for torsion-completeness over these domains and to study direct decompositions of torsion-complete modules.

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