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Abstract
In the first section of this paper the authors give some classes of modules where the two concepts π and prime are equivalent. Also, they provide conditions under which a given ring R is a Dedekind domain if and only if the R-module M is prime. In the final section they answer a question concerning modules which satisfy the radical formula.
1991 Mathematics Subject Classification:
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Acknowledgments
We thank Professor Smith of the University of Glasgow, for all his suggestions which have helped improve the clarity of this presentation. Also we would like to give our very special thanks to the referee for his remarks that have improved the presentation of this paper.