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
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
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 -