查询词典 abelian extension

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。

Partial Abelian semigroup is one of the generalizations of effect alge-bra which is no longer bounded.

部分Abelian半群是效应代数的无界推广。

The integral group rings of finite abelian groups are of great importance in algebraic k-theory.

有限交换群的整群环是一类非常重要的环，计算它的相对K_1群在代数K-理论中具有重要的意义。

In this paper, two conclusions are obtained, one is the connection between the subgroups of and the factor groups of finite abelian groups, and another is the character conditions of the subgroups with normal compelement.

文章主要包括两个结果，一个是关于有限交换群的子群与同态像之间的联系，另一个是关于子群有正规补的一个特征标刻划。

"Yes, now you can give yourself airs," she said, you have got what you wanted.

"对了，您现在高兴了，"她说道，这是您所期待的。

Then the LORD said to me: Rebel Israel is inwardly more just than traitorous Judah.

上主于是对我说：＂失节的以色列比失信的犹大，更显得正义。