A Characterization of Semihereditary Radicals |
Received:April 18, 1989 |
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Abstract: |
In this paper, it is proved that a radical is semihereditary if and only if its subdirectly irreducible semisimple class is seminormal. It is shown that the inter-section radical of semihereditary radicals is also semihereditary. The construc-tion of lower radical is given for the smallerst hereditary radical and semihe-reditary radical with the subdirectly irreducible semisimple class K |
Citation: |
DOI:10.3770/j.issn:1000-341X.1991.01.002 |
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