查询词典 polarized abelian variety

The present paper, from the point of view of the relationship between substructure and quotient structure, mainly characterizes structures of abelian and nilpotent table algebras and gains some meaningful results.

本论文从表代数的子结构和商结构的关系出发，对abel表代数和幂零表代数的结构进行了深入的探讨，并且得到一些有意义的结果。

By, we prove that a separative abelian regular ring is an APT ring.

由，还证明了分离的阿贝尔正则环是APT环。

Using this spinor structure of Chern-Simons, we give the spinor expression of the non-Abelian Faddeev-Niemi knot quantum number.

作为此分解的应用，本文导出了SU（2）陈-Simons形式和SU（2）陈密度的旋量结构，并利用此陈-Simons旋量结构给出了非阿贝尔Faddeev-Niemi纽结量子数的旋量表达式。

Conversely, in terms of the correspondence between the pure state and the maximal left idea, we get that if each hereditary C(superscript *)-subalgebra (or one-sided closed ideal) of A is a closed ideal in A, then A must be Abelian.

反之，利用C-代数A上的纯态与A中极大左理想的对应关系，得到了：若A中的每一个遗传子代数都是它的双侧闭理想，则A一定是交换的。

If A is Abelian, then each hereditary C(superscript *)-subalgebra (or one-sided closed ideal) of A is a closed ideal in A.

对于交换的C-代数，它的每一个遗传子代数都是它的双侧闭理想。

In section 1.3, taking the advantage of the classification by the index arrays ,pointed out the space spanned by class A,B,C respect!vivety are subalgebras of NQ. We also show that the subspace spanned by the elements of length 2 in C is an abelian subalgebras of NQ,denoted by H.we find H is contained in the center of subalgebra P of the subspace spanned by the elements in class C.

在1.3节中，应用指标数组我们讨论了各类元素的性质，指出其第A，B，C类元各自张成的子空间均是N_Q的子代数，特别是C类中所有长度为2的元素张成了N_Q的Abel子代数H，且含于C生成的子代数P的中心Z中。

He could not understand Riemann's work on Abelian functions nor Roch's contributions in his dissertation .

他不能理解Riemann在Abel函数方面的工作，也不懂Roch论文中的论著。

Furthermore, we will find that conditions in the above theorem are not valid for abelian table algebras.

另外我们还将通过一例子说明该判别条件对abel表代数是不成立的。

An algebraic method is derived for calculating the number of zeros of Abelian integrals in this paper.

而文献[66]得到的结果是其上界为4，因此本文改进了已有的结论。

Furthmore,we will study the structure of the solvable ones,in particular,their maximal abelian ideals.

最后研究了可解情形（3），特别是它们的极大交换理想。

Adjust the leveling screw at the end of the track to raise or lower that end until the cart placed at rest on the track will not move toward either end.

然后调整轨道末端的水平螺丝，来抬高或降低这一端，直到静止放在轨道上小车不再向某一端运动。

He just wanted to get the money out the door.

他只是想把钱拒之门外。