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.
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| Datum: | 2007 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут математики НАН України
2007
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| Schriftenreihe: | Український математичний журнал |
| Schlagworte: | |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/164210 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | I-radicals and right perfect rings / W. Rump // Український математичний журнал. — 2007. — Т. 59, № 7. — С. 1005–1008. — Бібліогр.: 14 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | 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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