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# Equivalent presentations of modules over Prüfer domains

Published:1998-06-01
Printed: Jun 1998
• Laszlo Fuchs
• Sang Bum Lee
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## Abstract

If $F$ and $F^\prime$ are free $R$-modules, then $M \cong F/H$ and $M \cong F^\prime/H^\prime$ are viewed as equivalent presentations of the $R$-module $M$ if there is an isomorphism $F \to F^\prime$ which carries the submodule $H$ onto $H^\prime$. We study when presentations of modules of projective dimension $1$ over Pr\"ufer domains of finite character are necessarily equivalent.
 MSC Classifications: 7082 - unknown classification 7082