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Ziegler's Indecomposability Criterion
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- Journal:
- Canadian Mathematical Bulletin / Volume 56 / Issue 3 / 01 September 2013
- Published online by Cambridge University Press:
- 20 November 2018, pp. 564-569
- Print publication:
- 01 September 2013
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- Article
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- You have access
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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 
$U_{R}^{\#}.$
