On the Number of Injective Indecomposable Modules

On the Number of Injective Indecomposable Modules

For every natural number m, there exists a noncommutative valuation ring R with a completely prime ideal P so that there are exactly m nonisomorphic indecomposable injective right R-modules with P as associated prime ideal.

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Veröffentlicht in:Journal of algebra 2001-01, Vol.235 (1), p.113-130
Hauptverfasser: Brungs, Hans-Heinrich, Törner, Günter
Format: Artikel
Sprache:eng
Schlagworte:
indecomposable injective modules
valuation rings
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Zusammenfassung:For every natural number m, there exists a noncommutative valuation ring R with a completely prime ideal P so that there are exactly m nonisomorphic indecomposable injective right R-modules with P as associated prime ideal.
ISSN:0021-8693
1090-266X
DOI:10.1006/jabr.2000.8464