关于半群的正则子半群的交

本文研究半群的两个正则子半群的交及两个逆子半群的交,文中引入正则交半群及逆交半群的概念,证明了逆半群及纯正群并是正则交半群,举例说明纯正半群一般不是逆交半群。因而不是正则交半群。文中证明完全正则半群是逆交半群并提出一个猜测。     

半群的多极区间值模糊子半群

模糊子半群是半群模糊理论的一个重要研究领域.引入半群的多极区间值模糊子半群的概念，讨论半群的多极区间值模糊子半群的基本性质，给出半群的多极区间值模糊子半群与区间值模糊子半群以及模糊子半群的关系，证明半群的多极区间值模糊子半群的交集和直积仍然是多极区间值模糊子半群.最后，讨论半群的多极区间值模糊子半群在同态变换下像与原像的相关性质.     

半群的n维区间值模糊子半群

半群的模糊子半群是半群模糊理论的一个重要研究领域.结合n维模糊集和区间值模糊集的概念引入了n维区间值模糊集的概念，并应用于半群，引入了半群的n维区间值模糊子半群的概念.讨论了半群的n维区间值模糊子半群的基本性质.给出了半群的n维区间值模糊子半群与区间值模糊子半群及半群的子半群的关系.证明了半群的n维区间值模糊子半群的交和直积仍然是n维区间值模糊子半群.     

关于阿基米德半群的子半群

本文讨论阿基米德半群的子半群,主要结论是:(1)若有限半群S的真子半群都是阿基米德半群,则S是阿基米德半群或|s|=2.(2)周期阿基米德半群的子半群是阿基米德半群。     

半群的(λ,μ)-双极值模糊子半群

半群的模糊子半群理论是半群模糊理论的一个重要研究领域.将双极值模糊集的概念应用于半群,引入了半群的带限度(λ,μ)-双极值模糊子半群的概念.讨论了半群的(λ,μ)-双极值模糊子半群的基本性质.给出了半群的(λ,μ)-双极值模糊子半群与模糊子半群以及子半群的关系.证明了半群的(λ,μ)-双极值模糊子半群的交仍然是半群的(λ,μ)-双极值模糊子半群.最后,讨论了半群的(λ,μ)-双极值模糊子半群在同态变换下像与原像的相关性质.     

半群的强可分性

目的研究阿基米德半群,π-正则半群等半群类的强可分性。方法将拓扑学中的可分性引入到一些经典的非正则半群类中,与通过断面研究半群的方法相反,利用半群类的性质来研究一个半群。结果若一个半群在阿基米德半群类或π-正则半群类上是强满逐点可分的,则该半群也为同类半群。结论将Marron DJ,Mcmaster TB和Hhnna AJ的结果推广到了非正则半群类。     

拓扑逆半群的一些基本性质

讨论拓扑逆半群的一些基本性质. 证明了拓扑逆半群的直积(和)仍是拓扑逆半群, 给出拓扑逆半群的半直积仍是拓扑逆半群的一些充分条件.此外, 还证明了在紧致拓扑逆半群中, 一个逆子半群的闭包是拓扑逆子半群, 一个Clifford子半群的闭包是Clifford拓扑逆子半群. 推广了已有拓扑半群或者拓扑群的一些结果.     

型A半群的Vagner-Preston表示

逆半群的著名的Vagner-Preston表示定理是群的经典Cayley表示定理向逆半群的一个推广.将这个结果进一步推广到了型A半群上,给出了型A半群的Vagner-Preston表示定理,证明了任一型A半群都是某对称逆半群的型A子半群,此结论也体现了型A半群在富足半群中的地位正恰如逆半群在正则半群中的地位.通过2个例子说明,既存在不是型A半群的恰当半群S,使是S的一个表示;也存在不是型A半群的恰当半群S,使不是一个表示.于是就富足半群类而言,该表示不能推广.     

半群的Ω-模糊子半群

给定一个集合Ω,引入半群的Ω-模糊子半群的概念,研究其一些基本性质。给出半群的Ω-模糊子半群的等价刻画,证明了半群的Ω-模糊子半群的交、同态像与原像等也是半群的Ω-模糊子半群。最后,通过在SΩ上定义运算得到半群(SΩ,),并研究了其模糊子半群与Ω-模糊子半群。     

Clifford半群上Rees矩阵半群的正规加密群结构

参照含幺Clifford半群上Rees矩阵半群的定义方式,给出Clifford半群上Rees矩阵半群的定义,证明了Clifford半群上的Rees矩阵半群是正规加密群,最后给出了Clifford半群上Rees矩阵半群S的正规加密群结构．     

利用Uq(sp(8))的向量表示实现辛型量子群(O)(Spq(8))

Jantzen[1]利用A型李代数A2的量子包络代数Uq(sl2(C)),借助于其表示论并利用R-矩阵的方法给出了SLq(2)的定义关系式.本文对结构更为复杂的C型李代数做了类似的研究,通过Uq(sp(8))的表示理论实现了(O)(Spq(8))的定义关系式.     

最大重迭杂化轨道应用研究——Ⅰ.卤代甲烷和硅烷系列分子的杂化轨道

本文利用最大重迭法,在分别考虑卤素配体杂化的基础上,求得了卤取代甲烷和硅烷系列分子实际构型下的杂化轨道。为研究这类分子的性质与结构关系提供了理论依据。     

表达胰岛素的毕赤酵母生长动力学及诱导策略

对本实验室构建的一株重组巴斯德毕赤酵母基因工程菌的生长及诱导进行了研究,结果表明生长阶段菌体的生长与限制性基质甘油残留浓度的关系符合Monod关系式,细胞最大生长比速率为0.204h^-1,饱和常数为24.3g/L。经参数推导得理论最大细胞对甘油得率为0.497g/g,以及菌体生长维持系数为0.007g/g·h,后者说明此株工程菌有高密度发酵的潜力。诱导阶段补加酵母提取物、大豆蛋白胨和微量元素能有效提高目的蛋白产量。在发酵罐上罐试验中,目的蛋白产量达256mg/L,蛋白产量是摇瓶发酵蛋白产量的5倍多。     

On convergence of singular integral operators with respect to path of integration

Givenf being Hölder continuous in a regionG?C. For the Cauchy principal integral $$I(\Gamma ,f) = \frac{1}{{\pi i}} \int_\Gamma {\frac{{f(\zeta )}}{{\zeta - \zeta _0 }}d\zeta , \zeta _0 \in \Gamma } $$ where Γ?G is a smooth closed contour, it is established that, if a sequence of smooth closed contours Γn?G(n∈N) smoothly convergent to Γ, then the corresponding sequenceI(Γ _n, f)is convergent to I(Γ, f). Furthermore, when Γ is approximated by a sequence of complex cubic splines $S_{\Delta _n } (\Gamma )$ interpolatory to Γ, the error $|I(\Gamma ,f)--I(S_{\Delta _n } (\Gamma ,f)|$ is estimated.     

Analysis of diversity of CO I gene and system generation of nine species of chitons

Cytochrome c oxidase subunit Ⅰ(COⅠ) genes from 9 chiton species in China’s coast area were sequenced. A phylogeny tree about these gene sequences were reconstructed together with other 4 COⅠgene sequences of chitons from Genbank. The affinity genetic relationship and the taxonomic status of molecular evolution for these 13 chiton species were analyzed. The results show that Liolophura japonica and Onithochiton hirasei belong to Chitonidae, Acanthochiton rubrolineatus and Acanthochiton dissimilis belong to Acanthochitonidae, and Placiphorella japonica and Mopalia retifera belong to the same family Mopliidae. However, Lepidozona coreanica, Ischnochiton comptus, and Ischnochiton hakodadensis are not supposed to be referred to Ischnochi-tonidae according to the genetic distance analysis (L. coreanica, I. comptus, and I. hakodadensis are usually classed as Ischnochitonidae according to their morphological character). Furthermore, I. hakodadensis could not been classed as Ischnochiton, and it is more likely to be treated as a close relative of Lepidozona.     

Protective effects of I/A 2 on ischemia/reperfusion injury in the isolated rat kidney

We observed changes of intermedin (IMD) and its receptor system mRNA expressed with renal ischemia/reperfusion (I/R) injury in the rat and explored the protective effects of IMD pretreatment on renal injury. In comparison with sham group kidneys, I/R-injured rats had severe pathological changes; renal superoxide dismutase (SOD) was decreased ( 34.8%) and tissue malondialdehyde (MDA) was increased (+34%; both p<0.01); renal IMD content and mRNA levels were decreased by 63.5% and 48.2%, respectively (both p<0.01); and CRLR, RAMP1, and RAMP3 mRNA levels were decreased by 39.5%, 11.2%, and 21.2%, respectively (all p<0.01). After pretreatment with IMD (1.0 and 5.0 nmol/kg) and ADM (5.0 nmol/kg), MDA content was lowered by 49.2%, 37.3%, and 36.9% respectively (all p<0.01) and SOD activity was increased by 37.2%, 22.1%, and 19.7%, respectively (all p<0.01). Thus, renal I/R injury in rat downregulated IMD and its receptor system and pretreatment with IMD attenuated I/R-induced renal functional and structural damage.     

Binding number,minimum degree and bipancyclism in bipartite graphs

Let G =(V_1,V_2,E) be a balanced bipartite graph with2 n vertices.The bipartite binding number of G,denoted by B(G),is defined to be n if G =K_n and min i∈{1,2}|N(S)|n min |N(S)|/|S|otherwise.We call G bipancyclic if it contains a cycle of every even length m for 4 ≤ m ≤ 2n.A theorem showed that if G is a balanced bipartite graph with 2n vertices,B(G) 3 / 2 and n 139,then G is bipancyclic.This paper generalizes the conclusion as follows:Let 0 c 3 / 2 and G be a 2-colmected balanced bipartite graph with 2n(n is large enough) vertices such that B(G) c and δ(G)(2-c)n/(3-c)+2/3.Then G is bipancyclic.     

4-Formyl-2-（2H-benzotriazol-2-yl）-phenol： an ESIPT chromophore

In the present work, excited state intramolecular proton transfer （ESIPT） emission properties of a new benzotriazole derivative 4-formyl-2-（2H-benzotriazol-2-yl）- phenol （C1） were studied. 4-Formyl-2-（2H-benzotriazol-2- yl）-methoxy-benzene （C2）, 4-formyl-2-（2H-benzotriazol-2- yl）-phenyl acetate （C3） and 4-methyl-2-（2H-benzotriazol- 2-yl）-phenol （C4） were used as the reference molecules. ^1H NMR chemical shift of hydroxy group in C1 was located at more down field than that of C4 or p-hydroxy-benzaldehyde （C5）, respectively. C1 showed two absorption bands in the range of 260-400 nm zones in various solvents, while C2 and C3 exhibited single absorption band. The equal molar mixtures of C2/C5 or C3/C5 showed single absorption band. C2 and C3 displayed single fluorescence emission band in various solvents, while C1 exhibited dual emission bands in some strong polar solvents. Furthermore, the second emission band in these strong polar solvents showed the large Stokes shift. The results show that the second emission band of C1 was produced by ESIPT. C2 and C3 could not undergo ESIPT due to no hydroxy group. The geometry optimization calculation of enol and keto forms in the ground and excited states of C1 provided tough theoretical evidences of ESIPT.     

Research on a Class of Equations over Finite Fields

Let F_q stand for the finite field of odd characteristic p with q elements(q=p~n,n∈N)and F_q~* denote the set of all the nonzero elements of F_q.In this paper,by using the augmented degree matrix and the result given by Cao,we obtain a formula for the number of rational points of the following equation over F_q:f(x _1,x _2,...,x _n)=(a_1 x_1 x_2~d+a_2 x_2 x_3~d...+a_(n-1)x_(n-1)x_n~d+a_n x_n x_1~d)~λ-bx_1~(d1)x_2~d2...x_n~(dn),with a_i,b∈F_q~*,n≥2,λ0 being positive integers,and d,d_i being nonnegative integers for 1≤i n.This technique can be applied to the polynomials of the form h_1~λ=h_2 with λ being positive integer and h_1,h_2∈F_q[x _1,x _2,...,x _n].It extends the results of the Markoff-Hurwitz-type equations.