commutative group

1. On a Non-Commutative Lattice-Ordered Group
   关于一个非交换的格序群
2. It is also shown that if R is a commutative σ-rigid ring and the addition group of R is a torsion-free group, then the ring of skew Hurwitz series over R is weak PP if and only if R is weak PP.
   还证明了若R是交换的σ-刚性环，且R关于加法做成的群是挠自由群时，R上的斜Hurwitz级数环是弱PP-环当且仅当R是弱PP-环。
3. Let M be a commutative Monoid, G a commutative group and D a M graded field.
   设M是交换Monoid，G是交换群，D是M分次域。
4. A Class of Commutative Groups or Matrices and Identities on the Basis of Formal Group Laws
   一类交换矩阵群和基于形式群法则的恒等式
5. Some Theorems of Commutative Lattice-Ordered Group
   交换格序群的几个定理
6. Extension and Application of Commutative Semi-group
   一个交换半群的推广与应用
7. U-group, the group of units modulo n is a commutative multiplication group, it provides a convenient way to illustrate the algebraic ideas of groups and to clarify the distinction between internal and external direct products.
   模n整数U-群是一类重要的交换乘群，它为我们更好地表述群的类似外直积与内直积相互关系的一些代数特征提供了极其简便的方法。
8. A-function is constant on the two-sided cells of fully commutative elements of group H_3. We compute out all the constants.
   a函数在H4中的满交换元素的两个双边胞腔上分别取常值，本文具体给出了这些值。
9. A finite commutative special Thue system and its word problem are discussed. It is proved that a finite commutative special Thue system is a product of a finite group and a monoid;
   讨论了有限可交换特殊图厄系统（∑∶r）及其字问题，证明了一个有限可交换特殊图厄系统（∑∶r）是一个有限群与一个自由幺半群的直积；
10. Let G be a Commutative group of order n and H be a cyclic subgroup of order m in G.
    G是n阶交换群，H是G的m阶循环子群。
11. If R is a commutative PMM ring, then R is indecomposable and the Picard group of R is power divisible.
    若交换环R是PMM环，则R是不可分解的且R的Picard群是幂可除的。
12. This paper has made some discussions on the finite commutative semigroup. The relationship between the finite commutative semigroup and the finite commutative group is established.
    对有限可换半群进行了讨论，建立了有限可换半群与有限可换群之间的关系。
13. In this paper the construction of commutative algebras for a matrix is established according to its Jordan canonical matrix. From this the symmetry algebra of a bilinear system is derived and a way of finding the symmetry group for a nonlinear system is presented.
    本文根据矩阵的Jordan标准形建立矩阵的交换代数的构造方法，在此基础上导出双线性系统的对称代数，并给出寻找一般非线性系统的对称群的一种途径。
14. Free Product of Commutative Semi group s
    交换半群的自由积
15. To a finite commutative, special Thue system(Σ: R),(Σ: R) is a finite generated 、 commutative group.
    对于一个有限可交换的特殊thue系统（∑：r），证明了（∑：r）是有限生成交换群；
16. In this paper, we mainly study a commutative diagram of regulators between the Bloch group and the K3 group.
    本文主要研究关于Bloch群与K3群存在的关于regulator的一个交换图。

noun

1. a group that satisfies the commutative law

   Synonym:    Abelian group