Author:
Gardner B. J.,Stewart P. N.
Abstract
AbstractLet V be a variety of rings and let A ∊ V. The ring A is injective in V if every trianglewith 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.
Publisher
Canadian Mathematical Society
Cited by
2 articles.
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1. Commutative absolute subretracts;Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics;1993-02
2. Special Principal Ideal Rings and Absolute Subretracts;Canadian Mathematical Bulletin;1991-09-01