I-radicals and right perfect rings
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We determine the rings for which every hereditary torsion theory is an S-torsion theory in the sense of Komarnitskiy. We show that such rings admit a primary decomposition. Komarnitskiy obtained this result in the special case of left duo rings.
KeywordsLeft Ideal Full Subcategory Primary Decomposition Torsion Theory Torsion Class
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