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Equivalent Presentations of Modules Over Prüfer Domains

Published online by Cambridge University Press:  20 November 2018

Laszlo Fuchs  and
Sang Bum Lee
Laszlo Fuchs
Affiliation:
Department of Mathematics Tulane University New Orleans, Louisiana 70118 U.S.A., e-mail: fuchs@mailhost.tcs.tulane.edu
Sang Bum Lee
Affiliation:
Department of Mathematical Education Sangmyung University Seoul 110-743 Korea
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Abstract

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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.

Keywords

13C11
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 41 , Issue 2 , 01 June 1998 , pp. 151 - 157
Copyright
Copyright © Canadian Mathematical Society 1998

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