Article contents
ℒ-Injective Hulls of Modules
Published online by Cambridge University Press: 17 April 2009
Extract
Let R be a ring and ℒ a class of R-modules. An R-module N is called ℒ-injective if for all L ∈ ℒ. An ℒ-injective hull of an R-module M is defined to be a homomorphism φ: M → F with F ℒ-injective such that for any monomorphism f: M → F′ with F′ ℒ-injective, there is a monomorphism g: F → F′ satisfying gφ = f. The aim of this paper is to study ℒ-injective hulls and their relations with ℒ-injective envelopes in Enochs' sense.
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 2006
References
- 5
- Cited by