Geodesic
Ziegler's Indecomposability Criterion
Canadian mathematical bulletin, Tome 56 (2013) no. 3, pp. 564-569

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DOI

Ziegler’s Indecomposability Criterion is used to prove that a totally transcendental, i.e., $\sum $ -pure injective, indecomposable left module over a left noetherian ring is a directed union of finitely generated indecomposable modules. The same criterion is also used to give a sufficient condition for a pure injective indecomposable module $_{R}U$ to have an indecomposable local dual $U_{R}^{\#}.$
DOI : 10.4153/CMB-2011-190-1
Mots-clés : 16G10, 03C60, pure injective indecomposable module, local dual, generic module, amalgamation 
Herzog, Ivo. Ziegler's Indecomposability Criterion. Canadian mathematical bulletin, Tome 56 (2013) no. 3, pp. 564-569. doi: 10.4153/CMB-2011-190-1
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     title = {Ziegler's {Indecomposability} {Criterion}},
     journal = {Canadian mathematical bulletin},
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     year = {2013},
     volume = {56},
     number = {3},
     doi = {10.4153/CMB-2011-190-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-190-1/}
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