I-radicals and right perfect rings
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.
English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 7, pp 1114-1119.
Citation Example: Rump W. I-radicals and right perfect rings // Ukr. Mat. Zh. - 2007. - 59, № 7. - pp. 1005–1008.