分担超平面的截断型亚纯映射退化性定理

借鉴Yan和Chen在2011年以及Tan和Truong在2008年所采用的技巧和方法,给出了从C~m到P~n(C)的亚纯映射的截断型线性退化性定理.     

巴拿赫代数上锥b-距离空间中压缩映射不动点定理

给出了巴拿赫代数上锥b-距离空间的概念,利用迭代法探究了巴拿赫代数上锥b-距离空间中压缩映射不动点定理,证明了广义利普希茨映射在没有正规性的条件下,仍存在不动点并且是唯一的.     

基于改进集的集值Ekeland变分原理

Ekeland变分原理在最优化理论及应用研究中具有十分重要的作用.利用非线性标量化函数及相应的非凸分离定理建立了基于改进集的集值Ekeland变分原理.新的Ekeland变分原理包含了一些经典的Ekeland变分原理作为其特例.     

π-模余代数与π-模余理想

主要讨论局部有限维的Hopfπ-代数H上π-模余代数与π-模余理想.给出了π-H-模余代数与π-H~*-余模代数之间的对偶关系,得到了π-H-模余理想的一个充分必要条件.     

有限域上代数簇间多项式映射的一个注记

设有限域Fq,文献[1]构造性的证明了结论:Map(Fnq,Fq)中的每个元素都可以唯一的表示成Fq[x1,…,xn]中次数不超过q-1的多项式.本文利用Groebner基与多项式映射的相关结论,首先给出了该结论一个更为简明的证明,并进一步得到有限域上代数簇的多项式映射之间一个更为一般的性质.     

一维六方准晶中带光滑顶点的正三角形孔边裂纹的反平面问题

本文通过引入合适的保角映射,利用Stroh公式和复变函数方法研究一维六方准晶材料中含光滑顶点的正三角形孔边裂纹的反平面问题,得到正三角形孔边裂纹尖端的场强度因子和能量释放率的表达式.通过数值算例,讨论了裂纹长度和正三角形孔口边长比值对等效场强度因子和能量释放率的影响,以及耦合系数和机械载荷对能量释放率的影响规律.结果表明:裂尖等效场强因子只与裂纹长度有关,而孔洞大小对其影响可忽略;裂纹长度、耦合系数和机械载荷总是促进裂纹扩展.     

双重导子的连续性

双重导子是导子的一种推广形式.令δ和ε为复线性代数A到自身内的两个映射,称A到自身内的线性映射d是一个(δ,ε)-双重导子,如果对任意a,b∈A,有d(ab)=d(a)b+ad(b)+δ(a)ε(b)+ε(a)δ(b)成立.本文研究Banach代数上双重导子的自动连续性问题,证明如果δ和ε为含单位元C~*-代数上的两个在0点连续的映射,则该C~*-代数上的每个(δ,ε)-双重导子都是自动连续的.     

环sum u~iF_2 from i=0 to s-1上的α和β类型单形码

介绍了环sum uⁱF_2 from i=0 to s-1(us=0)上Typeα和β线性单形码,确定了它们的性质.     

Two Novel 2D Lanthanide-organic Frameworks Based on Different Carboxylate-containing Mixed Ligands

Two novel lanthanide-organic polymers [Er2(pdc)2(o-bdc)(H2O)2]·H2O(1,H2pdc = 2,6-pyridinedicarboxylic acid,o-H2bdc = 1,2-benzenedicarboxylic acid) and Er(Himdc)(mbdc)0.5(H2O)(2,H3imdc = 4,5-imidazoledicarboxylic acid,m-H2bdc = 1,3-benzenedicarboxylic acid) have been synthesized and characterized by elemental analysis,IR,thermogravimetric analysis and X-ray single-crystal diffraction studies.1 crystallizes in monoclinic,space group P21/c,while 2 in the orthorhombic space group Pbcn.Both compounds 1 and 2 display two-dimensional network structures.For 1,the tetranuclear parallelogram {Er4} cluster as a building block is further assembled into a wonderful 2D grid,and the layers are interconnected via hydrogen bonds and π-π stacking interactions to yield a 3D supramolecular architecture;for 2,its configuration is a rare double-decker structure.These two complexes represent good examples for using mix-carboxylate-containing ligands to construct diverse 2D lanthanide coordination polymers.     

Synthesis,Structure and Spectral Properties of a Novel Triaryl Substituted Triazole and Its Co(Ⅱ) Complex

The new compound 3-(2-pyridyl)-4-(p-methoxyphenyl)-5-(2-thienyl)-1,2,4-triazole L was synthesized and characterized by elemental analysis,IR,1H NMR,13C NMR,MS,UV and photoluminescent spectra.The complex CoL2(NCS)2 was prepared by the reaction of ligand L with Co(SCN)2,and its structure was characterized by single-crystal X-ray diffraction,IR,UV,elemental analysis and MS.The complex crystallizes in monoclinic,space group P21/n with a=13.7639(19),b=7.6641(11),c=18.409(3),β=101.549(3)o,V = 1902.6(5) 3,Z=2,C38H28CoN10O2S4,Mr=843.87,Dc=1.473 g/cm3,μ=0.720 mm-1,S=1.075,F(000)=866.0,the final R=0.0825 and wR=0.2149 for 2566 observed reflections(I2σ(I)).In the crystal structure,the cobalt atom adopts a distorted octahedral environment with two NCS-ions in the axial positions and two bidentate chelating L ligands in the equatorial plane.The extended 2D network of the complex is formed by intermolecular C-H…N hydrogen bonds together with π-π stacking interactions.