semisimple algebra 中文意思是什麼

semisimple algebra 解釋
半單代數
  1. It is shown that if l is a modular lattice with finite length, and with 0, 1 the least and the largest elements in l respectively, then 1 is the union of some minimal elements in l if and only if 0 is the intersection of some maximal elements in l, if and only if each non - zero element in l is the union of some minimal elements in l. by using these results, we give the necessary and sufficient conditions of an algebra module, module, ring, group and semigroup, respectively, to be semisimple

    最後得出有限生成的ps -系是noetherian （ artinian ）系的充要條件是它關于本質子系滿足升鏈（降鏈）條件。第二章給出了一個模格是半單的若干充要條件。得到：有有限長度的模格l上，最大元1是若干極小元的並當且僅當最小元0是若干極大元的交，當且僅當l中任意非零元可表示為若干極小元的並。
  2. This paper proves that any dipolarization in a real or complex semisimple lie algebra is symmetric. thus a complete answer to the open problem in reference 2 is gaven

    本文證明半單李代數上的任何雙極化都是對稱的，從而解決了金行壯二於1993年提出的一個待解的問題.並給出了有關結果的一些應用
  3. Abstract : this paper proves that any dipolarization in a real or complex semisimple lie algebra is symmetric. thus a complete answer to the open problem in reference 2 is gaven

    文摘:本文證明半單李代數上的任何雙極化都是對稱的，從而解決了金行壯二於1993年提出的一個待解的問題.並給出了有關結果的一些應用
  4. The basic properties of matrix subalgebra were investiaged, the matrix subalgebra was generated by a single matrix, all maximal ideals were classified, the necessary and sufficient conditions for the subalgebra to be semisimple algebra were given

    摘要研究了由一個矩陣生成的拒陣子代數的基本性質，給出了其極大理想的完全分類及這類子代數是半單代數的充要條件。
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