查询词典 commutative

This results enriched the commutative conditions of Jacobson semi-simple ring.

此结论丰富了Jacobson半单纯环的交换性条件。

Let $A$ be a general finite commutative local ring.

设 $A$是一般有限交换局部环。

Secondly, some discussions are given to the two basic problems on polynomialfunctions over finite commutative ring R ―when does a function over R become apolynomial one?

然后，我们讨论一般有限交换环上关于多项式函数的两个基本问题：多项式函数的判别问题和多项式函数的个数问题。

Let n ≥ 4 be a fixed integer, R be a unital commutative ring of characteristic not 2, and D_n be a D_n-type classical Lie algebra over R.

假设n是一个大于等于4的整数，R是特征非2的有单位元的交换环，D_n是环R上的D_n型李代数，N是D_n的一个极大幂零子代数。

We prove that the Jordan semi-triple derivable maps of the algebra of all n×n matrices over a 2-torsion free commutative ring with unity is the sum of an inner derivation and A_φ, where A_φis the image of A underφapplied entrywise andφis an additive derivation over R.

证明了作用在一个包含单位元的可交换的2-无挠环上的矩阵代数上的拟三重Jordan可导映射是一个内导子与A_φ的和(这里A_φ是A在φ下逐点作用的像)。

Soc _RR is a injective left R-module.(4) Soc _RR is a left self-injective ring.|Theorem 4.2.9 Let R be a commutative notherian ring, then the following are equivalent:(1) R is a FS-ring.(2) R is a PS-ring.(3) Every minimal ideal of R is injective.(4) Every minimal ideal of R is p-injective.

定理4.2.9若R是交换的Noethe(来源：Aae0eBe0C论文网www.abclunwen.com)r环，则以下条件等价：R是FS-环；R是PS-环；R的每个极小理想都是内射的；R的每个极小理想都是p-内射的；R是IS-环；R的每个极小理想都是投射的；R的每个极小理想都是平坦的。

Other semirings arise naturally in such diverse areas of mathematics as combinatorics, functional analysis, topology, graph theory, Euclidean geometry, probability theory, commutative and noncommutative ring theory, optimization theory, discrete event dynamical systems, automata theory, formal language theory and the mathematical modeling of quantum physics and parallel computation systems.

在许多不同的数学领域存在着其它形式的半环，比如组合学，泛函分析，拓扑学，图论，欧式几何，概率论，交换和非交换环，优化论，离散动力系统，自动化理论，形式语言理论，量子物理的数据模型和并行计算系统。

Tang Gaohua, Su Huadong, Commutative ring and zero-divisor semigroups of regular polyhedrons.

乔晓云，唐高华，郑学谦。单圈图的全图谱半径，广西科学15（2008），No.3， 224-227 4。

It is the purely symmetric product; therefore, it is completely commutative.

它是纯对称的积；因此，它是完全可交换的。

Commutative link, have the website related to your website only, and the method of relevant industry website.

交换链接，只有与你的网站相关的网站，以及相关的行业网站的方法。

I'm not an actor. I'm a professor of paleontology.

我不是演员，我是古生物学教授

Spider Network Web site that is a very image of the name.

网络蜘蛛即Web Spider，是一个非常形象的名字。