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On the Prime Spectrum of X -Injective Modules

✍ Scribed by Ansari-Toroghy, H.; Ovlyaee-Sarmazdeh, R.

Book ID
120307469
Publisher
Taylor and Francis Group
Year
2010
Tongue
English
Weight
164 KB
Volume
38
Category
Article
ISSN
0092-7872

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πŸ“œ SIMILAR VOLUMES

On localization of injective modules
On localization of injective modules
✍ C. NaudΓ©; G. NaudΓ© πŸ“‚ Article πŸ“… 1986 πŸ› Elsevier Science 🌐 English βš– 346 KB
On the Number of Injective Indecomposabl
On the Number of Injective Indecomposable Modules
✍ Hans-Heinrich Brungs; GΓΌnter TΓΆrner πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 158 KB

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.

On injective hulls of simple modules
On injective hulls of simple modules
✍ Y. Hirano πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 537 KB

We characterize a ring over which every left module of finite length has an injective hull of finite length. Using this, we show that finite normalizing extensions of such a ring also have the same property. We also consider rings having the property that the injective hull of every simple module is