POOR MODULES: THE OPPOSITE OF INJECTIVITY
Glasgow mathematical journal, Tome 52 (2010) no. A, pp. 7-17
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A module M is called poor whenever it is N-injective, then the module N is semisimple. In this paper the properties of poor modules are investigated and are used to characterize various families of rings.
ALAHMADI, ADEL N.; ALKAN, MUSTAFA; LÓPEZ-PERMOUTH, SERGIO. POOR MODULES: THE OPPOSITE OF INJECTIVITY. Glasgow mathematical journal, Tome 52 (2010) no. A, pp. 7-17. doi: 10.1017/S001708951000025X
@article{10_1017_S001708951000025X,
author = {ALAHMADI, ADEL N. and ALKAN, MUSTAFA and L\'OPEZ-PERMOUTH, SERGIO},
title = {POOR {MODULES:} {THE} {OPPOSITE} {OF} {INJECTIVITY}},
journal = {Glasgow mathematical journal},
pages = {7--17},
year = {2010},
volume = {52},
number = {A},
doi = {10.1017/S001708951000025X},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708951000025X/}
}
TY - JOUR AU - ALAHMADI, ADEL N. AU - ALKAN, MUSTAFA AU - LÓPEZ-PERMOUTH, SERGIO TI - POOR MODULES: THE OPPOSITE OF INJECTIVITY JO - Glasgow mathematical journal PY - 2010 SP - 7 EP - 17 VL - 52 IS - A UR - http://geodesic.mathdoc.fr/articles/10.1017/S001708951000025X/ DO - 10.1017/S001708951000025X ID - 10_1017_S001708951000025X ER -
%0 Journal Article %A ALAHMADI, ADEL N. %A ALKAN, MUSTAFA %A LÓPEZ-PERMOUTH, SERGIO %T POOR MODULES: THE OPPOSITE OF INJECTIVITY %J Glasgow mathematical journal %D 2010 %P 7-17 %V 52 %N A %U http://geodesic.mathdoc.fr/articles/10.1017/S001708951000025X/ %R 10.1017/S001708951000025X %F 10_1017_S001708951000025X
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