Modules over strongly semiprime rings
Diskretnaya Matematika, Tome 30 (2018) no. 1, pp. 129-135
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For a ring $A$, the following conditions are equivalent. 1) $A$ is a right strongly semiprime ring. 2) Every right $A$-module which is injective with respect to some essential right ideal of the ring $A$, is an injective module. 3) Every quasi-injective right $A$-module which is injective with respect to some essential right ideal of the ring $A$ is an injective module.
Keywords:
injective module; strongly semiprime ring; quasi-injective module.
@article{DM_2018_30_1_a8,
author = {A. A. Tuganbaev},
title = {Modules over strongly semiprime rings},
journal = {Diskretnaya Matematika},
pages = {129--135},
publisher = {mathdoc},
volume = {30},
number = {1},
year = {2018},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DM_2018_30_1_a8/}
}
A. A. Tuganbaev. Modules over strongly semiprime rings. Diskretnaya Matematika, Tome 30 (2018) no. 1, pp. 129-135. http://geodesic.mathdoc.fr/item/DM_2018_30_1_a8/