Fabrication of Optical Components and Modules Using Photo-fabrication Technique

We describe optical components and optical modules using a photofabrication technique to demonstrate applicability of the technique for optical purposes. A thick plate and a prism were fabricated to study fabric characteristics. Examples of optical modules implemented by the photofabrication technique are a beam expander and an interferometer baseplate.     

Synthesis of 1,4,5,16-tetrahydroxytetraphenylene

This paper concerns the synthesis of 1,4,5,16-tetrahydroxytetraphenylene, which may function as a building block for the construction of molecular scaffolds. The synthesis of 1,4,5,16-tetrahydroxytetraphenylene was realized by stepwise Diels-Alder reactions to form two benzene rings using 1,10-dimethoxydibenzo[a,e]cyclooctene as a precursor. This key intermediate, in turn, could be obtained by photo-rearrangement of its corresponding barrelene.     

Two Results on Modules whose Endomorphism Ring is Semilocal

The aim of this paper is twofold. On the one hand, we show that the dual Goldie dimension codim(End(M _R )) of the endomorphism ring End(M _R ) of a module M _R can be used as a measure of the dimension of the module M _R . On the other hand, we prove under suitable hypotheses the validity of the Krull–Schmidt Theorem for infinite direct sums of modules with homogeneous semilocal endomorphism rings.     

极大代数上有限生成模的几何形态

本文研究了极大代数上有限生成模的几何形态，并得到了一般规律．     

关于Skew-Hopf对的二重交叉积的表示模

研究了Skew-Hopf对的二重交叉积D（X，A）的表示模，得到了M成为D（X，A）的表示模的充要条件；D（X，A）－模与量子Yang-Baxter X-模、A－模之间的联系也被揭示出来。     

平面型四光纤耦合系统的研究

以线性耦合波方程为基础，导出了在弱熔情况下平面型四光纤耦合系统的传播常数、本征模以及功率耦合特性，并首次利用“熔拉”法研制成功了平面型四光纤耦合器，得到的耦合器谱响应实验结果与理论结果基本一致。     

Polyaromatic amines. Part 4: Synthesis of poly(ethynyl) linked aromatic amines

The title compounds were synthesised and characterised as part of a study into new aromatic amines for charge transporting materials. Each compound was characterised by cyclic voltammetry. A qualitative estimate of the intramolecular charge mobility was deduced from the difference between the first and second oxidation potentials.     

Hauteurs normalisées des sous-variétés de produits de modules de Drinfeld

After establishing some important results on the usual height of projective varieties in positive characteristic, we construct a normalized height for subvarieties of products of Drinfeld modules and investigate its properties. In case the Drinfeld modules are pairwise isogeneous, we obtain in particular that the normalized height vanishes exactly on torsion varieties, that is on translates of sub-T-modules by torsion points.     

关于环的极大本质右理想

设Ｒ为环，我们考虑下面两个条件。（＊）Ｒ的每个极大本质右理想是ＧＰ－内射右Ｒ－模或右零化子．（＊）Ｒ的每个极大本质右理想是ＹＪ－内射右Ｒ－模．本文旨在研究满足条件（＊）或（＊）的环，同时我们还给出了强正则环和除环的一些新刻画．     

四方向、六方向醚键型分枝状化合物的合成

本文选用2,4-二羟甲基-1,5-戊二醇和肌醇为四方向及六方向起始核心,通过氧丙基为空间间隔基与带保护基的分支侧链成醚,脱保护后得未端官能团数为原母核两倍的新型有机分子——四方向及六方向醚键型分枝状化合物。