数环

Let R be an arbitrary commutative ring with identity, gl the general linear lie algebra over R consisting of all n × n matricesover R and with the bracket operation = xy -yx, t the lie subalgebraof gl consisting of all n×n upper triangular (resp., strictly upper triangular ) matrices over R and d the lie subalgebra of gl consisting of all n×n diagonal matrices over R.

在第三章中，对R是交换环的情形，讨论了典型李代数的导子代数的结构问题：设R是一个含幺交换环，gl是R上一般线性李代数。t是gl的所有n阶上三角矩阵(相应地，严格上三角矩阵)构成的子代数，d是gl的所有n阶对角阵构成的李代数。

Products has led caprate cobalt, cobalt naphthenate, TY series of high-performance polyimide resin, FLQ type latent epoxy curing promoting agent, diallyl bisphenol A Product dozens of top-five.

主导产品有癸酸钴、环烷酸钴、TY系列高性能聚酰亚胺树脂、FLQ型潜伏性环氧固化促进剂、二烯丙基双酚A五大类数十种产品。

Second,around each of m-dimensional tori of elliptic or mixed type there arehigher-dimensional invariant tori.

第二，环绕在m维椭圆型和混合型环面的周围存在维数更高的不变环面。

Experimental process: jing and 3- methyl -2- methyl ethyl ketonesynthesizes by the benzene zong; Again the glacial acetic acidcatalysis produces 2, 3, 3 - trimethyl - 3H - yinduo; Again has thealkylate response production yinduo iodide after the methyl iodide;The iodide takes off molecular HI under NaOH to become freejier thealkali; Adds 5 - nitryls salicylic aldehydes in the ethyl alcohol forthe solvent under if to respond finally produces 6 '- the nitryl yinduolin spiral benzene and pinan; Through the infrared spectrum andthe ultimate analysis irrevocably proved its structure, and studiedthe annulus with to open the annulus the light to send changes colorthe performance, explained in different solvent medium ultravioletabsorption spectrometry solvent effect, and the comparisondiscoloration the response speed number difference, finally mixed itadds to the methyl methacrylate, the peroxidation benzoin formyl in the plexiglass, tested 6 '- the nitryl yinduolin spiralbenzene and pinan in the glass fatigue resistance, thethermostability.

实验过程：由苯肼和3-甲基-2-丁酮合成腙；再冰醋酸催化生成2 ，3 ，3—三甲基—3H—吲哚；再经过碘甲烷发生烷基化反应生成吲哚碘化物；碘化物在NaOH下脱去一分子HI成为费歇尔碱；在乙醇为溶剂下加5－硝基水杨醛与其反应最后生成6'—硝基吲哚啉螺苯并吡喃；通过红外光谱和元素分析确证其结构，并研究了环体与开环体的光致变色性能，解释了在不同溶剂介质中紫外吸收光谱的溶剂效应，并比较褪色反应速率数的差异，最后将其掺加到甲基丙烯酸甲酯，过氧化二苯甲酰有机玻璃中，测试6'—硝基吲哚啉螺苯并吡喃在玻璃中的抗疲劳性、热稳定性。

Spinning frame control system of ring spinning frame than the complexity of many machines on the programmable logic controller applications required to meet two requirements: First of all, before and after the rollers are strict synchronization, realize twist drawing multiples and precision control to ensure that high-count yarn yarn quality; followed by the ring through the elimination of the transmission gears, servo control using advanced technology to achieve the electronic roll forming technology, enabling organizations to simplify the machinery, production speed, as well as the yarn count and yarn tube forming the automatic adjustment.

细纱机控制系统的环纺比许多机器的可编程逻辑控制器必须符合两个条件应用的复杂性框架：首先，前后辊严格同步，实现扭曲绘图倍数和精度控制，以确保高支纱的成纱质量，其次是环通过消除传动齿轮，采用先进的伺服控制技术实现的电子滚压成形技术，使企业简化机械，生产速度，以及支数和纱管形成了自动调整。

The structure of R with small homological dimension is discussed.

至于整体维数有限的左右Noether局部环是否是整环，至今尚未解决。

In this paper,we determine J_~(2~k+2v)by constructing ingeniously indecomposable manifolds M,which can be generators in MO_*,and defining appropriate(Z_2)~k-action on M.

在本文中，我们通过巧妙地构造流形M，使其所在的上协边类不可分解，从而可以作为上协边环MO_*的生成元，并在M上定义适当的(Z_2)~k作用使其不动点集F具有常余维数r，决定了未定向上协边环MO_*的理想J_~(2~k+2v)。

In this paper, we further research P-injective modules, define the concept of prime injective modules and prime injective dimension of module, and discuss the properties of them.

本文在[3]的基础上进一步研究了P-内射环，对于交换环我们引入了素内射模和模的素内射维数的概念，讨论了它们的性质。

The polymers substituted with hexyl and octyl on phenylene also show a nematic phase, however, the nematic phase disappears for the polymer substituted with decyl. The polymers substituted with alkoxy on phenylene self-organize into a lamellar structure, and their phase behavior shows obvious dependence on the alkoxy length.

苯环上烷基、烷氧基取代的聚合物都具有纤维状的特征形貌，当烷基、烷氧基碳原子数为6时在高温都存在一个向列液晶相，当烷基碳原子数增加到10时液晶相消失，而烷氧基碳原子数增加到12时该向列液晶相仍然存在。

Alkylbenzene, normal alkanes and alkylcyclohexane on the pyrolysates of P. Boryanum at 300℃ had uniform distribution and the relative content of them was similar, indicating that they originated from same precursors. Fatty acids, alcohol and ketone in algal cell are the possible precursors. For example, the precursor of relatively abundant C〓 alkylbenzene and alkylbenzene with C〓 side chain perhaps related with palmitic acid. N-alkylnaphthalene in pyrolysates at 300℃ probably derived from alkylation of cleavage products of aromatic steranes and terpanes.

在盘星藻300℃热解产物中，烷基苯、正烷烃和烷基环己烷碳数分布一致、各化合物的相对含量接近，表明它们有相同的来源，藻类体内的脂肪酸、醇和酮及细胞壁等物质可能是其母质，相对含量较高的碳数为16及侧链碳数为16的烷基苯类化合物，其前身物可能与软脂酸有关。300℃热解产物中的正烷基萘类化合物，可能由芳香甾、萜类的降解产物与直链烃类加成烷基化而形成。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。