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Injective resolutions of unstable modules

✍ Scribed by Errokh Mohamed Jmoui; Chariya P. Peterson


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
949 KB
Volume
97
Category
Article
ISSN
0022-4049

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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

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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