Stable torsion theories and the injective hulls of simple modules
Rings and Algebras
2014-02-14 v1
Abstract
A torsion theoretical characterization of left Noetherian rings 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.
Keywords
Cite
@article{arxiv.1402.3157,
title = {Stable torsion theories and the injective hulls of simple modules},
author = {Can Hatipoğlu},
journal= {arXiv preprint arXiv:1402.3157},
year = {2014}
}