TY - JOUR

T1 - Some aspects of relative injectivity

AU - Feigelstock, S.

AU - Raphael, R.

PY - 1987/8

Y1 - 1987/8

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84974275877&partnerID=8YFLogxK

U2 - 10.1017/S000497270002640X

DO - 10.1017/S000497270002640X

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AN - SCOPUS:84974275877

SN - 0004-9727

VL - 36

SP - 161

EP - 170

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

IS - 1

ER -