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http://hdl.handle.net/2445/151479
Title: | A simple proof of uniqueness for torsion modules over P.I.D.’s |
Author: | García Roig, Jaume Lluís |
Keywords: | Integrals estocàstiques Universitat de Barcelona. Institut de Matemàtica |
Issue Date: | 1986 |
Publisher: | Universitat de Barcelona |
Series/Report no: | Mathematics Preprint Series; 32 |
Abstract: | The aim of this paper is to glve an alternative proof of uniqueness for the decomposition of a flnitely generated torsión module over a P.I.D.(= principal ideal domain) as a direct sum of indecomposable submodules. Our proof tries to mimic as far as we can the standard procedures used when dealing with vector spaces. For the sake of completeness we also inelude a proof of the existence theorem. |
Note: | Preprint enviat per a la seva publicació en una revista científica: Stochastica (1985). Volume: 9, Issue: 2, page 185-187 |
Note: | Reproducció digital del document original en paper [CRAI Biblioteca de Matemàtiques i Informàtica - Dipòsit Departament CAIXA 31.26] |
URI: | http://hdl.handle.net/2445/151479 |
Appears in Collections: | Preprints de Matemàtiques - Mathematics Preprint Series |
Files in This Item:
File | Description | Size | Format | |
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MPS_N032.pdf | 328.95 kB | Adobe PDF | View/Open |
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