Abstract
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.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 7, pp. 1005–1008, July, 2007.
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Rump, W. I-radicals and right perfect rings. Ukr Math J 59, 1114–1119 (2007). https://doi.org/10.1007/s11253-007-0072-6
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DOI: https://doi.org/10.1007/s11253-007-0072-6