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• 规则可以用于交换交换代数

Rules can also be used for commutative and noncommutative algebra.

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• 分式分式以及相关局部化方法交换代数中一个重要工具

The fractional ring(module)and the interrelated localization method are the important tools for commutative algebra.

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• 对于交换代数代数几何奇点理论SINGULAR计算机代数系统软件包内核以及共享提供大量算法

For commutative algebra, algebraic geometry, and singularity theory, the singular computer algebra system provides a large variety of algorithms in the package kernel as well as Shared libraries.

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• 理论越来越重要工具统一了许多数学结构也是研究交换代数基本工具

The theory of modules is increasingly important in modern mathematics. It unifies many mathematical structures, and is the basic tools in commutative algebra.

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• 规则可以用于交换交换代数。 。

Ruless can also be used for commutative and noncommutative algebra.

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• 交换代数核心概念就是理想

The central notion in commutative algebra is that of a prime ideal.

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• 学生需要交换代数基本拓扑学一定了解

Students should have some familiarity with commutative algebra and basic topology.

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• 研究了代数上三维交换代数分类

In this paper, we discuss the classification of 3-dimensionally commutative algebras on algebraically closed field.

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• 课程可以18.705交换代数一起学习

The course may be taken concurrently with 18.705, Commutative Algebra.

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• 从双代数定义入手，给出了双代数成为交换交换代数的两个充分条件

We study the definition of bialgebra and prove the sufficient conditions about a bialgebra is commutative and cocommutative.

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• 第二部分第一篇论文，我们系统研究了交换代数及其全形的可性、完备非半单性性质。

In the first paper of the second part , it studies two dimensional noncommutative Lie algebra and its solvability, completeness and nonsemisimplicity and so on .

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• 作为全面计算交换代数理论实践指南无论教师还是学生可以使用

The book can be used by teachers and students alike as a comprehensive guide to both the theory and the practice of Computational Commutative Algebra.

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• 给出了一种代数交换积分次序方法，避免积分区域图麻烦。

The article introduces a method in which the order of quadratic integral can be exchanged with the knowledge of elementary.

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• 交换矩阵代数自同构分解问题是一类重要具有理论意义研究课题。

It is theoretically important to solve the problems of decomposition of automorphisms of solvable subalgebra and nilpotent subalgebra of matrix algebra over commutative rings.

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• 本文研究三角矩阵代数保持交换可加映射结构

We study in this paper the structure of additive mappings on triangular matrix algebras which preserve commutativity.

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• 同时刻画布尔代数保持交换矩阵线性算子

And also we characterize the linear operators that strongly preserve commuting pairs of matrices over Boolean algebras.

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• 本文刻画布尔代数保持交换矩阵线性算子

In this paper, the linear operators that strongly preserve commuting pairs of matrices over are characterized.

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• 利用系数矩阵极大证明了这类李代数单李代数没有交换代数

Using the notion of coefficient matrix and maximal element. We prove that the Lie algebra is semi-simple and it has no abelian two dimensional subalgebra.

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• 本文通过对合交换半群概念引入MV-代数建立了等价公理系，原有公理系进行了较好的简化。

In this paper, we introduce the notion of involution commutative semi-group, and give some equivalence axioms of MV - algebras.

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• 结论交换超算符方法理论基础代数

The conclusion is that the theoretical foundation of commutative hyper-operator method is Lie algebra.

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• 它们NM代数理论相应结果交换推广

All these results are the non-commutative generalizations of the corresponding ones of the filter theory of NM algebra.

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• 首先根据有限交换对称双特征标的概念给出着色李超代数定义介绍关于着色李超代数一些基本概念基础知识。

First, we give the definition of Lie color superalgebras using the symmetric bicharacter on a finite commutative group, and also we introduce some fundamental notions about Lie color superalgebras.

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• 单位元交换上，可应用生成元和定义关系方法给出仿型代数定义

On commutative ring with the identity, the definition of affine Lie algebras was given by applying the means of generator and defining relation.

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• 文章分析了自动交换光网络(ason)一般保护机制每种保护机制提供有效性分析代数公式

This paper analyzes the general protection mechanisms for ASON and provides for each of them an algebraic formula for the availability analysis.

www.opticsjournal.net

• 文章分析了自动交换光网络(ason)一般保护机制每种保护机制提供有效性分析代数公式

This paper analyzes the general protection mechanisms for ASON and provides for each of them an algebraic formula for the availability analysis.

www.opticsjournal.net

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