commutative的例句大全

Equivalent conditions for reducible elements of a complex commutative Banach algebra

复交换Banach代数中可约元的等价条件

The Riemann-Hilbert Boundary Value Problem for a First Order Hyperbolic Equation in Commutative Quaternion Algebra

可换四元数代数中一类一阶双曲方程的Riemann-Hilbert边值问题

Let H be a finite dimensional Hopf algebra and A a commutative H-module algebra.

设H是有限维Hopf代数，A是交换的H-模代数。

The main results are: Each Commutative FI algebra can be embedded into direct product of a system of linearly ordered Commutative FI algebra s;

主要结果是：交换FI代数可同构嵌入一族全序交换FI代数的直积；

In this paper, the Riemann-Hilbert boundary value problem for a class of first order hyperbolic equation in commutative quaternion algebra is considered, and the general solutions and the solvable conditions of the problem in different cases are obtained.

讨论了可换四元数代数中一类一阶双曲方程的Riemann-Hilbert边值问题.获得了其解的一般形式，以及在不同情况下Riemann-Hilbert边值问题的可解条件。

In this paper, we shall introduce the concept of discrete BCK algebra, and discuss its relation with BCK-algebra generated by atoms, positive implicative BCK-algebra, commutative BCK algebra and its self algebraic properties.

本文引入离散型BCK代数概念，并探讨它与原子生成的BCK代数、正关联BCK代数、交换BCK代数之间的关系及其自身的一些代数性质。

The realization theory of linear systems defined over a commutative Banach algebra W is studied. For the given strictly proper rational matrix function over W, using the matrix fraction description, the controllable and observable realizations have been constructed.

研究变换Banach代数W上线性系统的实现理论，对给定的W上的严格真有理矩阵函数，利用其矩阵分式描述，构造了其可控形和可观测形的实现；

In this paper we discuss some properties of M ( A), the multiplier algebra of a commutative BANACH algebra A, and obtain the following result: If A is a faithful commutative-algebra, then so is M ( A).

本文讨论了交换Banach代数A的乘子代数（A）的若干性质，并且得到了如下的结论：如果A是一个忠实交换的~代数，那么M（A）也是一个交换的~代数。

Some theorems of density in strong commutative subspace lattice algebra are given.

给出了强交换子空间格（S－CSL）代数中的几个稠密性定理。

We present the trigonometric representations of structured matrices by using displacement rank and commutative Hessenberg matrix algebra. Applications on Toeplitz and Toeplitz-plus-Hankel matrices are discussed.

利用位移秩和交换Hessenberg矩阵代数给出结构矩阵的三角表示，并讨论在Toeplitz矩阵和Toeplitz+Hankel矩阵方面的应用。

It is obtained that the commutative completely idempotent algebra which has unit element and no zero factor is a extension field on F. The structure of two dimension completely idempotent algebra is given out.

本文首先得出哉F上有单位元无零因子交换完全幂等代数A是F的扩域的结论，给出域F上二维完全幂等代数的结构；

Property of multipliers with a finite dimentional range on commutative h~-algebra

交换H~-代数上有限秩乘子的性质

At the same time, commutative rings are studied in Commutative Algebra in nature.

同时，交换代数本质上是研究交换环的。

Let H be a finite Hopf algebra, B a commutative ring, H 0 the category of all commutative, co-commutative finite algebra, C the category of commutative rings and A of commutative groups.

设H为有限Hopf代数，B为交换环，H0为交换、余交换的有限Hopf代数范畴，C为交换环范畴，A为交换群范畴。

In this paper, the author proves, first, that O is commutative if the matrix game has a pure solution.

本文首先证明了：若矩阵对策G有纯解，则O是可换的。

It puts forward a novel approach to discover privacy-preserving sequential patterns based on secure multi-party computation by using commutative encryption and homomorphic encryption technology.

利用可交换加密技术和同态加密技术，提出一个新颖的基于安全多方计算的私密保持序贯模式挖掘算法。

It constructs a Morita context relating A# H and AH, where H is a semisimple weak Hopf algebra, A is a left H& module commutative algebra.

本文构造了AH与A~H的Morita关系，其中H是半单弱Hopf代数，A是左H-模交换代数。

Commutative representation of a restricted 3+ 1 Toda lattice equation

限制的3+1Toda链方程的对易表示

The commutative conditions of rings under the condition of ( 2 m? 1)-torsion-free and non-torsion-free are proved to be tenable.

最后，将具有F k性质的环的交换性局限在某子结构上，并在（2m？1）-扭自由和非扭自由条件下，证明了其交换性仍然成立。

Design and Realization of Two-Computer Commutative Standby Software in Hydropower Stations Based on Serial Device Servers

基于串口服务器的水电站双机热备软件的设计与实现