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Injective hulls of Lie modules

โœ Scribed by Randall P Dahlberg


Book ID
107774677
Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
767 KB
Volume
87
Category
Article
ISSN
0021-8693

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๐Ÿ“œ SIMILAR VOLUMES


On injective hulls of simple modules
โœ Y. Hirano ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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

Direct injective modules
โœ Chen Zhizhong ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Institute of Mathematics, Chinese Academy of Scien ๐ŸŒ English โš– 176 KB
Localization of injective modules
โœ Everett C Dade ๐Ÿ“‚ Article ๐Ÿ“… 1981 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 530 KB
Injectivity of Quasi-projective Modules,
โœ Y. Baba ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 747 KB

In [K. R. Fuller, on indecomposable injectives over artinian rings, Pacific J. Math. 29 (1969), 115-135, Theorem 3.1] K. R. Fuller gave necessary and sufficient conditions for projective left modules to be injective over a left artinian ring. In [Y. Baba and K. Oshiro, On a theorem of Fuller, prepri