生成元

Let G be a finite abelian group with two elements generating set M .

G是一个有两个生成元的集合M上的一个有限阿贝尔群。

Apparently, this formulation is also applicable to the algebraic structure whose number of generators is more than three.

对于哈密顿量生成元多于三个的量子系统，也可以用不变量理论精确求解并研究几何相因子和相关问题。

The minimal number of the generators or the minimal set of the genera- tors of an algebraic system, is a very fundamental problem.

在代数体系的结构和分类理论当中，最小生成元的个数及其具体的刻划是一个基本问题。

Using the presentation, suppose that M is the maximal ideal of a commutative local domain R and R/M=F〓 is a finite field with q elements, a generating set of elements at most is obtained for K=Coker K〓

设M为交换局部整环R中极大理想，R/M〓F〓为q元有限域，由这个表现得到了K=Coker的一个至多含有个元素的生成元集。

This paper studies the locally bounded property of a generalized infinite particle system with zero range interactions and the dissipation of the resolvent operator of the system generator.

研究了广义零程粒子系统生成元的局部有界性和系统生成元预解算子的局部散逸性。

For the uniqueness problem of generator, by using some new methods (see Theorem 2.2.7), we prove the uniqueness theorem of generator under the assumptions which guarantee that the solution exists and is unique.

对于生成元的唯一性问题，我们采用与已有文献不同的全新的方法(见论文定理2.2.7)，在仅保证方程解存在唯一的假设条件下，证明了生成元的唯一性定理。

Pastijn left the question open whether is a congruence on the free idempotent semiring generated by two free generators. In this paper, the open question will be solved.

从而，提出了一个公开问题：是否为由两个自由生成元生成的幂等元半环上的同余，本文给出了这个问题的一个肯定的回答。

The 1-generator quasi-cyclic codes and their duals are the most frequently encountered QC codes in the literature.

单生成元的拟循环码及其对偶码是拟循环码中研究最多的一种。Séguin在要求x~m-1在F_q及F_中具有相同的分解的条件下，讨论了单生成元的拟循环码的结构及计数。

Second, we think about the Conjecture(Conjecture8.7,Conjecture8.23;[2]Conjec-ture2.3) and prove that some particular ideals have the same graded Betti numbers via shifting operations,that s,.if is a simpcial complex and I is a monomial ideal generated in one degree,we have that...

后一部分的主要结论是：针对J.Herzog提出的猜想([1]猜想8.7，猜想8.23；[2]猜想2.3)，证明了当I_Δ为同一次数生成元生成的稳定理想时，对i，j，有β_=β_。当I_Δ为无平方分量线性理想，特别地当I_Δ是弱稳定理想时，对i，j，有β_=β_=β_。

Second, we think about the Conjecture(Conjecture8.7,Conjecture8.23;[2]Conjec-ture2.3) and prove that some particular ideals have the same graded Betti numbers via shifting operations,thats,.if is a simpcial complex and I is a monomial ideal generated in one degree,we have that ij = ij, for i.j.

后一部分的主要结论是：针对J.Herzog提出的猜想([1]猜想8.7，猜想8.23；[2]猜想2.3)，证明了当I_Δ为同一次数生成元生成的稳定理想时，对i，j，有β_=β_。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。