A simple proof of uniqueness for torsion modules over principal ideal domains.

García Roig, J. L.. "A simple proof of uniqueness for torsion modules over principal ideal domains.." Stochastica 9.2 (1985): 185-187. <http://eudml.org/doc/38930>.

@article{GarcíaRoig1985,
abstract = {The aim of this note is to give an alternative proof of uniqueness for the decomposition of a finitely generated torsion 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 include a proof of the existence theorem.},
author = {García Roig, J. L.},
journal = {Stochastica},
keywords = {Módulos inyectivos; Elementos primos; Compleción de módulos; Irreducibilidad; Sucesiones exactas; decomposition of a finitely generated torsion module},
language = {eng},
number = {2},
pages = {185-187},
title = {A simple proof of uniqueness for torsion modules over principal ideal domains.},
url = {http://eudml.org/doc/38930},
volume = {9},
year = {1985},
}

TY - JOUR
AU - García Roig, J. L.
TI - A simple proof of uniqueness for torsion modules over principal ideal domains.
JO - Stochastica
PY - 1985
VL - 9
IS - 2
SP - 185
EP - 187
AB - The aim of this note is to give an alternative proof of uniqueness for the decomposition of a finitely generated torsion 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 include a proof of the existence theorem.
LA - eng
KW - Módulos inyectivos; Elementos primos; Compleción de módulos; Irreducibilidad; Sucesiones exactas; decomposition of a finitely generated torsion module
UR - http://eudml.org/doc/38930
ER -