On Some Injective Modules In σ[M]
In this paper, we study the notions (strongly) soc-injective, (strongly) simple-injective and (strongly) mininjective modules in σ[M]. For any module N in σ[M], N is strongly mininjective in σ[M] if and only if it is strongly simple-injective in σ[M]. A module M is locally Noetherian if and only if every strongly simple-injective module in σ[M] is strongly soc-injective. We also characterize Noetherian QF-modules.
KeywordsDirect Summand Simple Module Projective Module Injective Module Natural Epimorphism
Unable to display preview. Download preview PDF.
- Dung N.V., Huynh D.V., Smith P.F., Wisbauer R. (1994), Extending Modules Pitman RN Mathematics 313, Longman, Harlow.Google Scholar