摘要
本文证明了一个根性质成为半遗传的必要充分条件是它的亚直既约半单类是半规范的.证明了半遗传根的交根也是半遗传的·对亚直既约半单类为K的最小遗传根和半遗传根,分别给出了它们的低根构造.
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 ?
基金
江苏省教委自然科学基金资助
