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∑-injective modules

✍ Scribed by Istvän Beck


Publisher
Elsevier Science
Year
1972
Tongue
English
Weight
925 KB
Volume
21
Category
Article
ISSN
0021-8693

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Injectivity of Quasi-projective Modules,
✍ Y. Baba 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 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

Modules whose Injective Endomorphisms Ar
✍ A Haghany; M.R Vedadi 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 103 KB

An R-module M is called weakly co-Hopfian if any injective endomorphism of M is essential. The class of weakly co-Hopfian modules lies properly between the class of co-Hopfian and the class of Dedekind finite modules. Several equivalent conditions are given for a module to be weakly co-Hopfian. Bein

On injective hulls of simple modules
✍ Y. Hirano 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 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