Some aspects of relative injectivity

S. Feigelstock, R. Raphael

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


If H and M are right R-modules, H is M-injective if every R-homonorphism N → H N a right R-submodule of M, can be extended to an R-homonorphism from M to H H is strongly M-injective if H is injective for inclusions whose cokernels are isomorphic to factor modules of M For the case of abelian groups H and M, one settles the questions “when is H M-injective” and “when is H strongly M-injective”. The latter can be characterized in terms of the vanishing of Ext. Results for general module categories are also given.

Original languageEnglish
Pages (from-to)161-170
Number of pages10
JournalBulletin of the Australian Mathematical Society
Issue number1
StatePublished - Aug 1987


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