有限交换环上的多项式函数的个数问题。
The number of polynomial function over a finite commutative ring.
在第二章中，我们假设所有的环都为交换环。
本文进一步讨论了交换环上辛群的正规子群的标准性问题。
The standardization question of the normal subgroups over commutative rings has been further discussed.
讨论了交换环上伴随矩阵的若干性质，给出了整环上的一个主要结论。
Several properties of adjoint matrix over an arbitrary ring and obtain some results over domain are given.
本文主要讨论了适合反交换律的环的一些性质，并得出反交换环一定是交换环。
This paper mainly discuss some property of ring which fit into anti-commutative law, and arrive at a conclusion that anti-commutative law is commutable.
在有单位元的交换环上，可应用生成元和定义关系的方法给出仿型李代数的定义。
On commutative ring with the identity, the definition of affine Lie algebras was given by applying the means of generator and defining relation.
在带有单位元的交换环上，引入了V-赋值与亚序间的相容性，并得出了一些性质。
This paper introduces the notion of compatibility between preorderings and V-valuations on commutative rings with units and obtain some relevant results.
作为本文的主要结果，关于交换环上矩阵的正点定理，零点定理和非负点定理被建立。
As the main results, it gives a Positivstellensatz, a Nullstellensatz and a Nichtnegativstellensatz for matrices over a commutative ring.
在本文中，我们引进了M -赋值系统的概念，从环的内部给出交换环上M -赋值的结构。
In this paper, we introduce the notion of M-valuation systems for a commutative ring, and investigate the M-valuations from the inside of a commutative ring.
对交换环定义了广义p F环的概念，即一切具有常数秩的有限生成投射模都为自由模的交换环。
A generalization of PF rings relative to commutative rings: rings all finitely generated projective modules with constant rank of which are free is defined.
交换环上矩阵代数的可解子代数和幂零子代数的自同构分解问题是一类重要的具有理论意义的研究课题。
It is theoretically important to solve the problems of decomposition of automorphisms of solvable subalgebra and nilpotent subalgebra of matrix algebra over commutative rings.
在有单位元的交换环上，引入了M-赋值与序之间的相容性，由此获得一些有关M-赋值与序相容的结果。
The compatibility between M-valuations and orderings is introduced on a commutative rings with unit, and several results on the compatibihty between M-valuations and orderings are established.
提出了一种以波长为标签的新型全光变长分组交换环网的体系结构、网络节点的光分组数据包收发模型，以及防止光分组冲突的多令牌协议。
With the specific features of better communication predictability of the timing token protocol, a formalized analysis model for the predictability has been developed.
对于一次性使用，可以更容易地在一个本地临时目录中构建密匙环，生成并交换证书，然后将完成的密匙环文件移动到它们的最终目标位置。
For one-time use, it would be easier to build the keyrings in a local temporary directory, generate and exchange the certificates, and then move the finished keyring files to their final destinations.
所有的计算机使用相同的端口号来交换信息，因此形成了一个通信环。
All machines exchange information using the same port number, thereby forming a ring for communication.
本文首先深入研究了单端口环网结构上全交换操作的实现算法。
First of all, this dissertation extensively studied the algorithms for complete exchange on single-port torus.
由于携砂液向地层的滤失以及通过筛管缝隙的流体质量交换，水平井砾石充填过程中冲筛、井筒环空两个流动系统均为复杂的变质量流。
During the process of gravel-packing in horizontal Wells, there are the filtration flow of the carrier fluid to the formation and the exchange flow through the screen slots.
刻画了在非负无零因子交换半环上强保持可逆矩阵的线性算子。
The linear operators that strongly preserve invertible matrices over some antinegative commutative semirings with no zero divisors were characterized.
木质素结构中含有芳环、脂肪族侧链和许多活性官能团，具有一定的离子交换与吸附性能。
Lignin consists of both aromatic and aliphatic portions containing many active functional groups, which suggests some ion exchange and adsorption properties.
分式环和分式模以及与之相关的局部化方法是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.
环隙切剖面上形成的涡，其内部流体都要与涡外部的流体进行质量交换。
The vortices that are formed on the tangential section, there existed mass transfer between inner and outer parts of fluid.
介绍了在硫酸、732阳离子交换树脂的催化作用下，制备环氧大豆油的工艺，得出了最佳工艺条件。
The preparation process of epoxy soybean oil under the catalysis of sulfuric acid and 732 type cation exchange resin is introduced, and the optimum technological conditions have been obtained.
使用玻璃基离子交换工艺制作的大半径无源环谐振器可作为惯性旋转传感器、波长传感器、温度传感器、声波传感器和光学陀螺等，具有重要的应用价值。
The passive rings on glass with big radius fabricated by ion exchange can be used as inertial sensors, wavelength sensors, temperature sensors, sound-wave sensors, optical gyroscope and so on.
任意pi -环的交换性问题是环的交换性理论的一个主要内容。
The commutative problem of arbitrary PI ring is the main research contents of the commutative theory.
任意pi -环的交换性问题是环的交换性理论的一个主要内容。
The commutative problem of arbitrary PI ring is the main research contents of the commutative theory.
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