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Simple-direct-injective modules

✍ Scribed by Camillo, Victor; Ibrahim, Yasser; Yousif, Mohamed; Zhou, Yiqiang


Book ID
127306710
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
379 KB
Volume
420
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES


Direct injective modules
✍ Chen Zhizhong πŸ“‚ Article πŸ“… 1993 πŸ› Institute of Mathematics, Chinese Academy of Scien 🌐 English βš– 176 KB
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

βˆ‘-injective modules
✍ IstvΓ€n Beck πŸ“‚ Article πŸ“… 1972 πŸ› Elsevier Science 🌐 English βš– 925 KB