semisimple 中文意思是什麼

semisimple 解釋
半單純的
  1. Some characterizations of exact sequences on s - acts, especially on semisimple s - acts are also obtained

    並給出s -系尤其是半單s -系正合列的性質。
  2. Symmetry of dipolarizations in semisimple lie algebras

    半單李代數雙極化的對稱性
  3. Following from the results of sensitivity analysis of standard eigenvalue problems, the differentiability of semisimple multiple eigenvalues of nonsymmetric generalized eigenvalue problems is proved, and the derivatives of semisimple multiple eigenvalues and the series expansions of the corresponding eigenvectors are obtained

    摘要以標準特徵值問題靈敏度分析的有關結論為基礎，證明了單參數非對稱廣義特徵值問題半單重特徵值的可微性，給出了特徵值導數的表達式和特徵向量的級數展開式。
  4. 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。
  5. Lemma 7 h = be a weak hopf - coalgebra and is a normalized left integral of h1 ; then for all theorem 5 let h = be a finite - dimension weak hopf - coalgebra, then h is semisimple if and only if h1 is semisimple

    一余代數，則下列命題等價： （ hi半單問hi中存在正規左積分iehi問hi是可分的卜代數引理5對弱hopf7t一余代數h khalh ，八，乙）而言1是從的正規積分有： voe 。
  6. A criterion theorem of having no finite coverings for a finitely generated module m over a semisimple ring r is given

    對半單環上有限生成左模給出一個無有限覆蓋的判定定理。
  7. Characterizations of semisimple classes of normal objects called algebras

    正規代數對象的半單類刻劃
  8. The construction of semisimple closure of normal objects called algebras

    正規代數對象的半單閉包之構造
  9. 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
  10. 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
  11. Radicals and semisimple classes of the class of algebras

    代數對象的根與半單類
  12. Representations of strong semisimple n - lie algebras

    李代數的表示
  13. Hereditary radicals and strongly semisimple radicals in normal classes of algebras

    代數正規類中的遺傳根與強半單根
  14. The text however develops basic riemannian geometry, complex manifolds, as well as a detailed theory of semisimple lie groups and symmetric spaces

    然而課程還將簡單介紹了基本的黎曼幾何和復流形的知識，並會詳細討論半單李群和對稱空間的理論。
  15. After introducing some preliminaries and notations, the dissertation investigates semisimple malcev algebras, giving some equivalent definitions and properties of semisimple malcev algebras

    給出了馬力茨夫代數是半單的幾個等價定義。然後討論了半單馬力茨夫代數的一些性質。
  16. 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。
  17. Lemma 5 let ( m, p ) be a right weak hopf - comoduleover h = a weak hopf - coalgebra, then for all ( 1 ) is a right submodule over ha of m. theorem 3 if h is a weak hopf - coalgebra and m = { ma } a is a right weak hopf - comodule over h ; we claim that : in the fourth section, we mainly study the weak integrals of h and the semisimplicity of h. we discuss the relation between the - integral and the antipiode of h, we get the following main results : lemma 6 let h = be a weak hopf - coalgebra, then the following statements for an element are equivalent ( a ) 1 a integral of h1 ( b ) ( c ) ( d ) ( e ) ( f ) is a right integral of h theorem 4 let h = be a weak hopf - coalgebra. then the following conditions on h1 are equivalent ( a ) h1 is semisimple

    ） ?喇） （ 1 ， 1 ） ）二m仰n m 」 」 「是m的右從子模定理3設h為弱hopf7t一余代數， m ma人h是h上的右弱hopf7t一余模n h是h在m上的余不動盧、 。則第四節我們主要討論了弱horf 。一余代數的半單性與h ；中的弱積分的關系；牙用（ h ，上門， l ） ， 3 ， si ）為弱hopf代數這一q點；我來觀察hi的正規弱積分與h的半單性之間的關系；該節第部分主要是給出弱hopf 。
  18. In section 2. 2, we prove that if the set of arrows in a quiver is not empty, then nq is not semisimple. we construct the nonsovable subalgebra of nq when there is no less than one circle whose length is bigger than one, and there is no loop in quiver q, thus leads to a conclusion that nq is nonsovable. using the index arrays to discuss the operation of necklace word. construct a sovable subalgebra of nq, which is not nilpotent. this shows that nq is not nilpotent provided that there is a cyclic with length bigger than 1

    當箭圖中有長度大於1的循環，且無圈時，構造了n _ q的非可解子代數，從而證明了n _ q是不可解李代數。我們還利用指標數組討論了項鏈字的運算，構造了n _ q的可解非冪零子代數，從而證明了當箭圖中有長度大於1的循環時，項鏈李代數非冪零。在2
  19. It is obtained that the integer completely idempotent rings are fields. two characterization are gained that the completely idempotent rings with element are l - semisimple and b - semisimple. a class of finite completely idempotent rings is solved with | r | - p2

    首先得出整完全冪等環是域的結論，其次給出有單位元的完全冪等環的兩個刻劃，即有單位的完全冪等環是l -半單的， b -半單的，最後給出了一類有限完全冪等環的結構
  20. On these grounds, the sensitivity of semisimple multiple eigenvalues of generalized eigenvalue problems is defined, and the sensitive elements of matrix pairs can be determined

    以所得結論為基礎，定義了廣義特徵值問題半單重特徵值的靈敏度，給出了確定矩陣對中敏感元素的方法。
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