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Published online by Cambridge University Press: 20 November 2018
If $F$ and
${F}'$ are free
$R$-modules, then
$M\cong F/H$ and
$M\,\cong \,{F}'\,/\,{H}'$ are viewed as equivalent presentations of the
$R$-module
$M$ if there is an isomorphism
$F\,\to \,{F}'$ which carries the submodule
$H$ onto
${H}'$. We study when presentations of modules of projective dimension 1 over Prüfer domains of finite character are necessarily equivalent.