The paper reviews category theory based on similarity and theories.

Formal description for architecture model based on feature and category theory

基于特征和范畴理论的体系结构模型形式化描述

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Efficient Chinese Teaching in Senior High School Based on Knowledge Category Theory

基于知识分类观的高中语文有效教学

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Furthermore, category theory is introduced into software engineering as an efficient mathematics tool.

进而，把范畴论作为一种高效的数学工具引入到软件工程领域。

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The Research and Application of the Category Theory Model for Generic Programming

泛型程序设计的范畴论模型研究及其应用

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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。

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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。

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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

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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；

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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。

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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。

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Rules can also be used for commutative and noncommutative algebra.

规则可以用于交换和非交换代数。

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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。

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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；

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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。

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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。

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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；

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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。

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The spectral extension property of commutative Banach algebra

交换Banach代数的谱延拓性质

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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

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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

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