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Equivalent presentations of modules over Prüfer domains

Open Access article
 Printed: Jun 1998
  • Laszlo Fuchs
  • Sang Bum Lee
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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 show english descriptions unknown classification 7082 7082 - unknown classification 7082

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