Geodesic
Injective and Weakly Injective Rings
Canadian mathematical bulletin, Tome 31 (1988) no. 4, pp. 487-494

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Let V be a variety of rings and let A ∊ V. The ring A is injective in V if every triangle with C ∊ V, m a monomorphism and f a homomorphism has a commutative completion as indicated. A ring which is injective in some variety (equivalently, injective in the variety it generates) is called injective. When only triangles with f surjective are considered we obtain the notion of weak injectivity. Directly indecomposable injective and weakly injective rings are classified.
DOI : 10.4153/CMB-1988-070-4
Mots-clés : 16A52, 08B30 
Gardner, B. J.; Stewart, P. N. Injective and Weakly Injective Rings. Canadian mathematical bulletin, Tome 31 (1988) no. 4, pp. 487-494. doi: 10.4153/CMB-1988-070-4
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     title = {Injective and {Weakly} {Injective} {Rings}},
     journal = {Canadian mathematical bulletin},
     pages = {487--494},
     year = {1988},
     volume = {31},
     number = {4},
     doi = {10.4153/CMB-1988-070-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1988-070-4/}
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