F-Decomposition of Noetherian Modules over Hyper-（Cyclic or Finite）Groups

Let F be a locally defined formation consisting of locally soluble groups，G a hyper-(cyclic or finite)locally soluble group and A a noetherian ZG-module with all irreducible ZG-factors being finite，G∈F,f(∞)≌f(p)，f(P)≠Фfor each P∈π．The following conclutions are obtained：(1)if there exists a maximal submodule B of A such that A／B is F central in G and B has no nonzero F centml ZG-factors，then A has an F decomposition；(2)if there exists an irreducible F central submodule B of A such that all ZG-composition factors of A／B are F ecentric，then A has an F decomposition．     

Splitting Extensions of Abelian by Hyper-（ cyclic or finite） Groups （Ⅱ ）

Let F be a locally defined formation consisting of locally solvable groups, G a hyper-（ cyclic or finite） locally solvable group and A a noetherian ZG-module with all irreducible ZG-factors being finite. The following conclusion is obtained： if G∈F, f（ ∞ ） include f（p）, f（p） ≠φ for each p∈π, and A has no nonzero F central ZG- images, then any extension E of A by G splits conjugately over A, and A has no nonzero F central ZG-factors.     

The F -Decomposition of Artinian Modules over Hyper-(Cyclic or Finite) Groups

Let Fbe a formation locally defined by f(p), G∈ Fand A a ZG-module, where p∈π={all primes and symbol ∞}.Then a p-main-factor U/V of G is said to be F -central in G if G/CG(U/V)∈f(p). In this paper, we have proved that: let Fbe a locally defined formation consisting of locally soluble groups, G a hyper-(cyclic or finite) locally soluble group and A an artinian ZG-module with all irreducible ZG-factors of A being finite; if G ∈ F, f(∞) f(p), f(p)≠ for each p∈π, A has an F -decomposition.     

FILTERED-GRADED TRANSFER OF SAGBI BASES IN SOLVABLE POLYNOMIAL ALGEBRAS

IntroductionThe method of SAGBI bases calculations in-troduced by Refs.[1 ,2 ]has turned out to be apowerful tool in the subalgebra theory of solvablepolynomial algebras(including commutative poly-nomial algebras,iterated Ore extensions,universalenveloping algebras of finite dimensional Lie alge-bras and particulary Weyl algebras) [3 ] .The aboveSAGBI bases give well hehaved generating sets ofsubalgebras.In this paper,by mimicking Li andWu' s method of filtered- graded transfer of Groeb…     

Remark on Regularity of Continuous Operators on AL-Spaces

Let E and F be Banach lattices．It is known that if every continuous linear operator from E into F is regular，then，under some mild assumptions on E or F，either E is lattice isomorphic to an AL-space or F is lattice isomorphic to an AM-space．Here we present a characterization on an AL-space E such that every bounded linear operator from E into a Banach lattice isregular．A counterex．ample is also provided，which shows that the results are unexpected even if the domain is an AL-space or the range space is an AM-space．     

On Finite Groups with Special Conjugacy Classes

IntroductionIn 1973, Markel[1]began to investigate the“S3-conjecture”; that is,S3is the only finite group inwhich every conjugacy class has different order(note: the“order”here from Ref.[2] means thelength of a conjugacy class of a group). Many schol-…     

关于图的集控制数

设G是一个图,如果V(G)能划分为t个两两不交的控制集Dt(i=1,2,…,t),则称G有t-控制集划分.图G的集控制数定义为d(G)=max{ t|G有t-控制集划分}.该文主要研究乘积图与联图的集控制问题,给出其集控制数的界限,并确定一些特殊图的集控制数.     

乙型肝炎病毒基因型检测及其与肝功能的关系

目的 探讨乙型肝炎病毒基因型与肝功能的关系.方法 采用微板核酸分子杂交ELISA法检测93例不同临床类型的乙型肝炎患者的基因型并同时测定肝功能.结果 93例不同临床类型乙型病毒性肝炎患者中,B型24例(25.81%),C型59例(63.44%),D型5例(5.38%),混合型5例(B/D 3例,C/D 2例,占5.38%).93例不同临床类型的乙型肝炎患者中,以C基因型为主,其次为B基因型,部分以D型和混合型存在,无A、E、F型.按照慢性乙型肝炎、亚急性重型肝炎、肝硬化的顺序,C基因型的检出率逐渐增多,B基因型的检出率逐渐减少.肝癌患者C基因型的检出率没有依次增高.C基因型各型乙型肝炎患者的ALT、AST、TBIL均高于B型,ALB低于B型,但差别无统计学意义.结论 西安地区病毒性肝炎以C基因型为主,部分以B、D及混合型存在,未发现A、E、F型.除肝癌外,C型的检出率随临床类型的加重而增多.     

On Codes with w-identifiable Parent Property

A code is said to be a w-identifiable parent property code (or w-IPP code for short) if whenever d is a descendant of w (or fewer) codewords, and one can always identify at least one of the parents of d. Let C be an (N, w 1, q)-code and C* an (w 1)-color graph for C. If a graph G is a subgraph of C* and consists of w 1 edges with different colors, then G is called a (w 1)-pattern of C*. In this paper, we proved that C is a w-IPP code if and only if there exists at most one vertex with color degree more than 1 in any (w 1)-pattern of C*.     

硒对饲以克山病区粮大鼠白细胞吞噬氧化活性的影响——用全血化学发光法测定

本文首次报道采用改良的全血化学发π法测定硒对饲以克山病病区粮大鼠白细胞吞噬氧化活性的影响.选用SD纯系大鼠,随机分为3组(Ⅰ、Ⅱ、Ⅲ组),每组20只,雌雄各半,分别依次用克山病病区粮,病区粮加硒和非病区粮喂养1个月后,测定3组大鼠的肝硒水平分别为58ppb(Ⅰ组)、628ppb(Ⅱ组)、736ppb(Ⅲ组)。外周血白细胞总数(白细胞数/L,×10~(-9))结果分别为14.07±1.268(Ⅰ组),11.76±1.049(Ⅱ组)、13.89±0.791(Ⅲ组),3组均在正常值范围内,彼此之间无显著差异(p>0.05)。白细胞化学发光积分值(cpm/白细胞)结果分别为7.267±0.855(Ⅰ组)、10.324士1.026(Ⅱ组)、13.061士1.589(Ⅲ组),经统计学处理,Ⅰ组和Ⅲ组之间差别非常显著p<0.01,Ⅰ组与Ⅱ组之间也有显著差异p<0.05,而Ⅱ组与Ⅲ组之间无显著差异p>0.05,结果表明。硒对白细胞总数无明显影响;但低硒大鼠白细胞的吞噬氧化活性低下,补硒可提高白细胞的吞噬氧化活性。此为克山病的发病机理和临床防治提供了依据。     

s-Conditionally Permutable Subgroups and p-Nilpotency of Finite Groups

A subgroup H of G is called s-conditionally permutable in G if for every Sylow subgroup T of G,there exists an element x∈G such that HTx=TxH.In this paper,we investigate further the influence of s-conditionally permutability of some 2-maximal subgroups of the Sylow subgroup of G,on the structure of finite groups.New criteria for a group G being p-nilpotent are obtained.     

Weak Isomorphism of Finite Group

On the basis of the quasi-isomorphism of finite groups, a new mapping, weak isomorphism, from a finite group to another finite group is defined. Let G and H be two finite groups and G be weak-isomorphic to H. Then G≌H if G satisfies one of the following conditions. 1） G is a finite Abelian group. 2） The order of G is p^3. 3 ） The order of G is p^n＋1 and G has a cyclic normal subgroup N = 〈a〉 of order p^n. 4） G is a nilpotent group and if p^││G│, then for any P ∈ Sylp （G）, P has a cyclic maximal subgroup, where p is a prime; 5） G is a maximal class group of order p4（p〉3）.     

乙型肝炎病毒基因型检测与肝炎临床的相关性

目的从分子水平探讨乙肝病毒基因型与HBVDNA水平、HBeAg阳性率的关系。方法采用微板核酸分子杂交ELISA法检测93例不同临床类型的乙肝患者的基因型。结果93例不同临床类型的乙肝患者中,以C基因型为主,其次为B基因型,部分以D型和混合型存在,无A、E、F型。按照亚急性乙型肝炎、慢性乙型肝炎、肝硬化的顺序,C基因型的检出率逐渐增高,B基因型的检出率逐渐降低。肝癌患者C基因型的检出率没有依次增高。C基因型HBVDNA(log值4.69±0.66)水平低于B型(log值5.33±0.66),但无统计学意义(P>0.05),而HBeAg阳性率C型(69.7%)大于B型(42%),且差别有统计学意义(P<0.05)。结论西安地区病毒性肝炎以C基因型为主,部分以B、D及混合型存在,未发现A、E、F型。除肝癌外,C型的检出率随临床类型的加重而增高,C型的HBVDNA水平低于B型,HBeAg阳性率显著高于B型。     

Optimization of Demosaicing Algorithm for Autofluorescence Imaging System

Autofluorescence imaging(AFI) systems are widely used in the detection of precancerous lesions.Fluorescence images of precancerous tissue are usually red(R) or blue(B), so this kind of system has high requirement for colour recovery, especially in R and B channels. Besides, AFI system requires bulk data transmission with no time delay. Existing colour recovery algorithms focus more on green(G) channel, overlooking R and B channels. Although the state-of-art demosaicing algorithms can perform well in colour recovery, they often have high computational cost and high hardware requirements. We propose an efficient interpolation algorithm with low complexity to solve the problem. When calculating R and B channel values, we innovatively propose the diagonal direction to select the interpolation direction, and apply colour difference law to make full use of the correlation between colour channels. The experimental results show that the peak signal-to-noise ratios(PSNRs)of G, R and B channels reach 37.54, 37.40 and 38.22 dB, respectively, which shows good performance in recovery of R and B channels. In conclusion, the algorithm proposed in this paper can be used as an alternative to the existing demosaicing algorithms for AFI system.     

若干合成图的星全染色

简单图G和H的合成图是指具有顶点集V（G）×V（H）的简单图G[H],它的顶点（u,v）和另一个顶点（u,v＇）相邻当且仅当或者uu＇∈E（G）,或者“u=u’且vv’∈E（H）．文中研究了n＋1阶简单图G与m阶简单图H的合成图的星全染色,其中G为Wn。,扇Fm或星Sn．得到以下结果：（1）若△（H）=2且n≥4,m≥5,则G[H]的星全色数为（2n＋1）m;（2）若x（H）=△（H）=m-1且n,m≥4,则G[H]的星全色数为2（n＋1）m-1．     

一类第二型Fuchs群的约化形式及其基本域

定义一类二型Fuchs群,这类Fuchs群是经典模群PSL(2,Z)的重要推广。令q为不含平方因子的自然数,q>4,定义G(q~(1/2))为由形如(acq~(1/2)bq~(1/2)d)∈SL(2,R)的矩阵构成的群。接着,讨论它作用在所有实正定二次型P2的约化形式。最后,给出所有这些约化形式构成的集合与G(q~(1/2))作用在P2上的一个基本域的关系。     

先天性巨结肠与RET基因c135位点单核苷酸多态性相关性分析

目的确定国人陕西地区正常汉族人群中是否存在RET基因c135位点单核苷酸多态性及基因频率,研究先天性巨结肠患儿该位点基因型与表型的相关性,探讨其病因。方法整体抽样随机选取40例陕西西安地区健康汉族献血者血样进行DNA抽提。对16例病理诊断证实为先天性巨结肠患儿狭窄段肠组织标本进行DNA提取(均为陕西地区患儿,汉族,散发性)。PCR扩增RET基因外显子2(含c135片段),长度300 bp,产物纯化后直接测序,并用相关软件及统计学分析。结果陕西地区正常汉族人群存在RET基因c135位点单核苷酸多态性A/G,A、G基因频率分别为0.475、0.525,各等位基因频率接近,G等位基因频率稍占优势。病例组16例A、G基因频率分别为0.844,0.156。病例组基因型以突变型AA(13/16)为主。对照组与病例组存在明显差异(P<0.001)。A等位基因与疾病关联强度OR=5.97,OR95%CI(2.24,15.92),OR值在0.05水平上有显著性。结论国人陕西地区汉族人群RET位点存在单核苷酸多态性A/G,c135G>A。先天性巨结肠表型与该位点A基因型明显相关。RET基因c135位点单核苷酸多态性纯合突变型AA在先天性巨结肠患儿中过高表达。     

Some Results on Unicity of Entire Functions Related to Normal Families

IntroductionLet D be a domain in C.Define for f mero-morphic on D and a,b∈C,we putE(a,f)={z∶f(z)-a=0}where a zero of multiplicity m is counted m times inthe set.And put-E(a,f)=f-1({a})∩D={z∈D∶f(z)=a}Then f and g share a IM(ignoring multiplicities),i.e.-E(a,f)=-E(a,g)If f-a and g-a have the same zeros with thesame multiplicities,then f and g share the value aCM(counting multiplicities),i.e.E(a,f)=E(a,g)A meromorphic function f on C is called anormal function if there exists a posit…     

中国西北地区汉族人群5-羟色胺2A受体启动区多态性与心境障碍发病、性别、症状、自杀的相关性

目的探讨中国西北地区汉族人群5-羟色胺2A受体(-1438A/G)基因多态性与心境障碍的发病、性别、亚型以及自杀相关是否关联。方法应用聚合酶链反应(PCR)扩增技术测定160例患者(包括单相抑郁症和双相障碍-抑郁相)和160例正常对照的5-HTR2A的基因型和等位基因,分别验证各种基因型与心境障碍的性别、亚型、自杀的相关性。结果病例组的A/G、G/G基因型和G等位基因频数均高于正常对照组(47.5%vs.40.6%;38.7%vs.34.4%;62.5%vs.54.7%;均P<0.05),两组性别分层比较,女性组与男性病例组相比差异无统计学意义(P>0.05)。单相抑郁症与双相障碍-抑郁相两组间进行比较差异无统计学意义(P>0.05)。病例组有无自杀相关分层比较差异无统计学意义(P>0.05)。自杀相关性别分层比较差异无统计学意义(P>0.05)。结论中国西北地区汉族人群5-HTR2A(-1438A/G)基因多态性与心境障碍的发病相关,主要是与单相抑郁症相关;A/G、G/G基因型可能是心境障碍的易感基因型,G等位基因可能是心境障碍的易感基因。     

On Restricted Connectivity and Extra Connectivity of Hypercubes and Folded Hypercubes

Given a graph G and a non-negative integer h, the h-restricted connectivity k^h(G) of G is the minimum cardinality of a set of vertices of G, in which at least h neighbors of any vertex is not included, if any, whose deletion disconnects G and every remaining component has the minimum degree of vertex at least h; and the h-extra connectivity k^h(G) Of G is the minimum cardinality of a set of vertices of G, if any, whose deletion disconnects G and every remaining component has order more than h. This paper shows that for the hypercube Qn and the folded hypercube FQn, k1(Qn)=k^（1）(Qn)=2n-2 for n≥3, k2(Qn)=3n-5 for n≥4, k1(FQn)=k^(1)(FQn)=2n for n≥4 and k^(2)(FQn)=4n-4 for n≥8.