Stable torsion theories and the injective hulls of simple modules

2014/02/13 by Can Hatipoğlu, Hatipoğlu, Can
Mathematics · #13E05 (Secondary) #16S90 (Primary) #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:13E05 #msc:16S90

paper · pdf · doi:10.48550/arxiv.1402.3157

arxiv created 2014/02/13 · arxiv updated 2014/02/14

Abstract

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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