Article contents
Injective and Weakly Injective Rings
Published online by Cambridge University Press: 20 November 2018
Abstract
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
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.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1988
References
1.
Davey, B. A. and L. G. Kovács, Absolute subretracts and weak injectives in congruence modular varieties
Trans. A.M.S.
297(1986), pp. 181–196.Google Scholar
4.
Rowen, L. H., Polynomial Identities in Ring Theory (Academic Press, New York, 1980).Google Scholar
You have
Access
- 1
- Cited by