I-radicals and right perfect rings

Authors

  • W. Rump

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

25.07.2007

Issue

Vol. 59 No. 7 (2007)

Section

Short communications

How to Cite

Rump, W. “I-Radicals and Right Perfect Rings”. Ukrains’kyi Matematychnyi Zhurnal, vol. 59, no. 7, July 2007, pp. 1005–1008, https://umj.imath.kiev.ua/index.php/umj/article/view/3363.