Geodesic
Equivalent Presentations of Modules Over Prüfer Domains
Canadian mathematical bulletin, Tome 41 (1998) no. 2, pp. 151-157

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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.
DOI : 10.4153/CMB-1998-024-6
Mots-clés : 13C11 
Fuchs, Laszlo; Lee, Sang Bum. Equivalent Presentations of Modules Over Prüfer Domains. Canadian mathematical bulletin, Tome 41 (1998) no. 2, pp. 151-157. doi: 10.4153/CMB-1998-024-6
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     author = {Fuchs, Laszlo and Lee, Sang Bum},
     title = {Equivalent {Presentations} of {Modules} {Over} {Pr\"ufer} {Domains}},
     journal = {Canadian mathematical bulletin},
     pages = {151--157},
     year = {1998},
     volume = {41},
     number = {2},
     doi = {10.4153/CMB-1998-024-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-024-6/}
}
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