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On QF-3 and 1-Gorenstein rings. (English) Zbl 0426.16013

MSC:
16L60 Quasi-Frobenius rings
16S90 Torsion theories; radicals on module categories (associative algebraic aspects)
16P50 Localization and associative Noetherian rings
16P60 Chain conditions on annihilators and summands: Goldie-type conditions
16D50 Injective modules, self-injective associative rings
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