2017
Том 69
№ 6

All Issues

I-radicals and right perfect rings

Rump W.

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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.

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.

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