Stable torsion theories and the injective hulls of simple modules
classification
🧮 math.RA
keywords
lefttorsionhullsinjectivemodulesnoetheriansimpletheories
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A torsion theoretical characterization of left Noetherian rings $R$ over which injective hulls of simple left modules are locally Artinian is given. Sufficient conditions for a left Noetherian ring to satisfy this finiteness condition are obtained in terms of torsion theories.
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