群同构

本文通过六项正合列计算出，在强拟凸域上，它的拓扑边界上连续函数代数的K（1-）群同构于区域上Toeplitz代数的K1-群与Z的直和。

In this paper , from the six-term exact sequence , it is proved that the direct sum of Z and K1 - group of a Toeplitz algebra is always isomorphic to the topological K1 - group of the boundary of the relative domain .

对短正合列作了进一步讨论，得出“对于左R-模上短正合列，在环同态和Abel群同构条件下保持正合性”的结论。

Properties of short exact sequences are developed . The author proves that short exact sequences as left R - module maintain the exact property on condition of homomorphisms of rings and isomorphisms of Abel groups .

p~m阶阿贝尔p-群同构的判定

Decision of p ~ m - order Abel p-group Isomorphism

给出了有限阿贝尔群同构的一个判定算法。

In this paper , the author gives an algorithm for testing isomorphism of finite Abelian groups .

X0-Φ满射环上线性群的同构

Isomorphism of the Linear Groups in Xo - φ - Surjective Ring

最小p3q阶群的同构类型

On Isomorphism Class of the Smallest Group of Order p ~ 3q

有限Abel群的同构定理

The Isomorphic Theorem of Finite Abel Group

证明了EC－半群在同构意义上有下列几类：（a）M（4，1），C2，C4，Cp；

Each EC-semigroup is proved to be one of the following semigroups up to isomorphism : ( a ) M ( 4 , 1 ), C2 , C4 , Cp ;

本文利用双曲Euler公式[1]，给出了双曲平面H上的一类乘闭子集S2与一类幺正矩阵群U2[2]同构，证明并具体刻划了H平面上的线性变换与Lorentz变换的关系。

A class of multiplicatively closed Subsets S_2 that is isomorphic to a class of unitary matrix groups U_2 is given by Hyperbolic Euler transformation in this paper . The relation of linear transformation to Lorentz transformation on Hyperbolic plane H is also illustrated in detail .

在环的乘法半群的同构下根的不变性

Invariant Radicals of Rings under Isomorphism of Multiplicative Semigroup of Rings

关于N-半群的同构问题

The isomorphism problem for N - Semigroups

右群的同构定理

Isomorphism Theorems of Right Groups

格序群的同构

Isomorphism of lattice ordered groups

粗糙群的同构

Isomorphism of Rough Group

第四章主要刻画半环上三角矩阵C-代数乘法半群自同构。

In chapter 4 , we will characterize multiplicative semigroup automorphisms of the C - algebras of triangular matrices over semirings .

研究了l-向量空间的凸同余关系、同构关系，将l-群的同构定理推广到l-向量空间。

This paper studied the convex congruence relation and isomorphic relation of lattice ordered vector spaces and gave some isomorphic theorems for vector lattice .

点态Fuzzy算子群第三同构定理

The third isomorphism theorem of pointwise fuzzy groups with operators

群的Fuzzy同构

Fuzzy Isomorphism of Groups

交换环上Witt指数非零的二维U群的自同构

Automorphism of two-dimensional unitary groups over Commutative Rings

一类2pq~2阶群的自同构群

The Automorphism Groups of Certain Groups of Order 2pq ~ 2

一类整系数矩阵半群的自同构

Automorphisms of a Class of Semigroups of Matrices with Integer Coefficients

计算有限p-群的自同构群阶的方法

Approach of Calculating the Order of Automorphism Group of p-Group

一系列新的LA-群及其自同构群的阶

A New Series of LA-Groups and the Order of Their Automorphism Groups

半环上的三角矩阵乘法半群的自同构

Multiplicative Semigroup Automorphisms of Upper Triangular Matrices over Semirings

有限群在自同构作用下的轨道长

Orbit Sizes under Automorphism Acting in Finite Groups

二秩无扭群的自同构群和只有两个自同构的二秩无扭群

Automorphism Groups of Torsion-free Groups of Rank 2 and Torsion-free Groups with Two Automorphisms

特征数≠2的非交换主理想整环上线性群的自同构

On the automorphism of linear groups over a non-commutative principal ideal domain of characteristic ≠ 2

半群的C-同构

C - isomorphisms of Semigroups

本文确定了特征不为2的域上非正则辛群的自同构形式，除标准形式外，本文又给出一个非标准形式的自同构。

The present paper determines the forms of automorphisms of non regular symplectic groups over fields whose characteristic is not 2 .

本文给出了仅用元的阶之集对二元域上小阶线性群及其自同构群的刻画。

This paper characterizes some linear groups G of small order over the binary field using only the set of element orders of G.