商群

本文借助商群方法对CaWO4晶体的振动谱进行了理论分析，明确地指出了红外吸收光谱（IR）和喇曼散射光谱（R）的激活结果。

The vibration spectrum of CaWO 4 crystal was analyzed theoretically by means of factor group method in this paper . It clearly points out the activated results of infrared absorption and Raman scattering spectrum .

有限可换幺半群的一个商群

A factor group of the finite commutative uni-semigroup

Fuzzy商群是Fuzzy群论的一个重要概念。

Fuzzy quotient group is an important concept theory of Fuzzy group .

Fuzzy幂群的结构及其与Fuzzy商群的关系

The Structures of Fuzzy Power Groups and the Relationship Between Fuzzy Power Groups and Fuzzy Quotient Groups

二面体群整群环的n次增广理想及其商群结构

Structure of powers of augmentation ideals and their quotient groups for integral group rings of dihedral groups

A是G的商群的充要条件是：（ⅰ）（？）

Is quotient group of G if and only if the following conditions are satisfied : ( I ) ?

商群Hol（G）/GL的阶数分析

Analysis of Order of Quotient Group Hol ( G ) / G_L

本文采用集合套来表现模糊集，用子群套、正规子群套分别定义Fuzzy子群与Fuzzy正规子群，用陪集套定义Fuzzy陪集从而定义Fuzzy商群。

The nested set is introduced to express the fuzzy set , the nest of sub - groups , normal subgroups and coset are used to express the fuzzy subgroup , fuzzy normal subgroup and fuzzy coset respectively , then the concept of fuzzy quotient group is defined .

Frattini商群的构造

Structure of Frattini quotient group

首先讨论了Fuzzy幂群定义的合理性，其次在更弱的条件下研究了拟Fuzzy商群及其同态关系，将Fuzzy幺半群降低为幂等Fuzzy半群，同样可以得到笔者以前所获的大部分结论。

In this paper , we will discuss the rationality of concept of fuzzy power groups , and research fuzzy power groups under much weaker conditions , and the most results with respect to quasi-fuzzy factor groups can be obtained when fuzzy monoid is weakened to idempotent fuzzy semi-group .

AHX群与A商群的关系

The relationship between AHX group and a-factor groups

然而这样的行为，尤其是如果其他电视网络商群起效仿的话，“将损害从电视网到本地广播电视台的商业模式，”《广告周刊》（AdWeek）的凯蒂•巴克曼说。

Such a move , though , especially if copied by other networks , " could cripple the network-local station broadcast model , " notes AdWeek 's Katy Bachman .

群的模糊同态与模糊商群的同构定理

Fuzzy Homomorphism of Groups and Isomorphism Theorems of Fuzzy Quotient Groups

自同构群到对特征子群的商群上一作用

An Action from Automorphism Group on Actor Group to Characteristic Group

双诱导映射下的反模糊商群与反商模糊子群

Anti-fuzzy Factor Groups and Factor Anti-fuzzy Subgroups in Bi-induced Mapping

有序群中的序关系与广义商群之间的对应

Correspondence between the orderings and the quasi-quotient groups on an ordered group

粗糙不变子群的若干性质与粗糙商群

Some Properties of Rough Invariant Subgroups and Rough Quotient Groups

反模糊商群与反模糊商环

The Anti - Fuzzy Factor Groups and the Anti - Fuzzy Factor Rings

直觉模糊群与它的诱导商群

Intuitionistic Fuzzy Group and Its Induced Quotient Group

商群元素的确定

The Determination of the Elements of Quotient Group

正规超群与商群的关系

The relationship between the hypergroups and quotient groups

反商群与反同态

On anti quotient group and anti homomorphism

同余关系与商群

Congruence relation and quotient group

讨论两个群的自由积的商群以及导群的结构。

This paper considers the structures of factor groups and derived subgroup of free product of two groups .

进而给出了HDerkΦ（A）的特殊子群及其商群结构。

Furthermore , We investigate the special subgroup of HDer Φ k ( A ) and its quotient group .

本文研究了一类具有完全正规子群的有限群之增广理想及增广商群结构的问题。

For certain finite group with a perfect normal subgroup , this paper discusses the problem of its augmentation ideals and quotient groups .

类金融商业模式把客户群、供应商群、渠道商群作为企业价值实现的核心要素。

Clientele , supplier pool are channel pool are considered as the core element for embodying the value of enterprises by the business mode of similar finance .

给出了在特定条件下有限群双重陪集的个数定理和双重商群的概念，并证明了双重商群的同构定理。

He authors give a theorem related to the number of double cosets of finite groups under some conditions and prove a isomorphism theorem of double group of quotients .

我们还给出了α-fuzzy子群的等价定义，给出了正规α-fuzzy子群的定义，研究了α-fuzzy商群及α-fuzzy子群的同态象性质。

The equivalent definition of α - fuzz y subgroup and definition of normal α - fuzzy subgroup are also given ,α - fuzzy factor group and homomorphic image properties are studied .

本文给出了不分明化拓扑群的定义，并且讨论了此类拓扑群的单位邻域系、子群、商群的结构和性质。

In this paper , we introduce the concept of fuzzifying topological groups , and discuss the structures and the properties of the unit neighborhood system , subgroups and quotient groups of fuzzifying topological group .