Abstract

AbstractIf F and F′ are free R-modules, then M ≅ F/H and M ≅ F′/H′ are viewed as equivalent presentations of the R-module M if there is an isomorphism F → 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.

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