几类环的对偶模等价性条件

本文利用对偶模的有关概念研究了Ｔｆｇ－ｃｏｈｅｒｅｎｔ环、ｃｏｈｅｒｅｎｔ环、ＩＴＦ环、ＩＦ环、Ｔ正则环、正则环及半单环的有关性质并得到了若干等价性判别条件。主要结论为：（１）Ｒ为左Ｔｆｇ－ｃｏｈｅｒｅｎｔ环等价于扭类Ｔ中的左Ｔ－投身模的对偶是Ｔｆｇ－平坦模（Ｔ平模）等价于左投射模的对偶是Ｔｆｇ－平坦模（Ｔ平模）。（２）若Ｒ的每个左循环模为自反模（ｒｅｆｌｅｘｉｖｅ）,则Ｒ为左Ｔ正则环等价于Ｒ为右ＩＴＦ环,且每个右Ｔ平模的子模是Ｔ平模等价于每左模的对偶模是Ｔ平模。     

关于T_(fg)—遗传环、T_(fg)—正则环

本文借助于左酉模范畴R1M中的遗传扭论(T,F)相对应的Gabriel拓扑G,定义并讨论了较平坦模、T—内射模、f—内射模、p—内射模更为一般的T_(fg)—平坦模和T_(fg)—内射模,然后利用这两类模刻划了T_(fg)—遗传环和T_(fg)—正则环,见定理8、9、10和11,从而推广了遗传环和正则环t_1—半单环。     

关于T_(fg)—正则环和两类特殊环

本文用T—内射模[10]、Tfg—内射模和Tfg—平坦模[5]刻划了如下一些特殊环：Tfg—正则环、Tfg—V—环和Tfg—coherent环。它们分别推广了正则环和T正则[1]、V—环、TV环[11]、p—V—环、f—V—环[6]、[1]、[4]及coherent环的相应结论。     

凝聚环上的对偶模与FP-自内射维数

文章讨论了Wn-模与对偶正合列的性质和关系,且给出了它们在讨论凝聚环上的有限表现模时的一些应用,所得结果推广了文献《非交换凝聚环上的FP-自内射维数》[5]等所得的结果。     

拟投射模，拟内射模，拟平坦模和特殊环

本文利用拟投射模,拟内射模和拟平坦模刻划了QF,IF和凝聚环和一些特殊的环,获得的主要结论有定理1,定理2和定理4。     

G-型分次对偶模的同调维数

文章主要研究Gr-凝聚环中每个f.g .半自反分次模的分次对偶模的平坦维数和分次投射维数之间的关系 ,以及与分次环的gr.w .gl.dim关系 ,所得的结果包含了非分次的情形。     

强正则环的几个等价条件

设R是广义正则环，则以下条件等价：（1）R是强正则的，（2）E（R）增包含于C（R），（3）ex=xe,对所有e∈E(R)，对所有x∈N(R),(4)N(R)增包含于C（R），（5）E（R）在R中关于乘法是封闭的，（6）E（R）是弱可换的。     

局部对偶平坦且局部射影平坦的Finsler度量

研究了局部对偶平坦的Finsler度量,综合局部射影平坦,局部对偶平坦的性质,得到一个Finsler度量是局部对偶平坦且局部射影平坦的三个充要条件,并将其应用到(α,β)-度量,从而得到(α,β)-度量是局部对偶平坦且局部射影平坦的充要条件.     

用矩阵刻画模的同调性质

用环R上的矩阵研究了R-模的一些同调性质.对于任给的基数α,β以及β×α行有限矩阵A,证明了Ext1R (R(α)/R(β)A,M)=0当且仅当Mα/rMα(R(β)A) HomR(R(β)A,M) 当且仅当rMβlR(β)(A)=Amα,进一步推广了(m,n)-内射性的概念,并从矩阵的零化子,同态的分解和同调群等角度给出(α,β)-平坦性的等价刻画,从而使(m,n)-平坦模,f-投射模和n-投射模统一到(α,β)-平坦模的概念之下.此外还给出了左R-ML模的一个刻画和R(β)A是左R-ML模的等价条件,从而把凝聚环、 (m,n)-凝聚环、π-凝聚环等概念统一到(α,β)-凝聚环的概念之下.     

G—型分次对偶模的同调维数

文章主要研究Gr—凝聚环中每个f．g.半自反分次模的分次对偶模的平坦维数和分次投射维数之间的关系，以及与分次环的gr．w．gl．dim关系，所得的结果包含了非分次的情形。     

半环同态与半模的一个等价性

该文从半环同态的角度出发,给出半模的一个等价定义.     

A proof of maximum contention-free property of interleavers for Turbo codes using permutation polynomials over integer rings

INTRODUCTION In order to satisfy the high throughput and lowlatency requirements for next generation mobilecommunication systems, the parallelization of de-coding of Turbo codes (Berrou et al., 1993) has re-ceived remarkable attention. As the interleav-ing/deinterleaving operations may result in memorycontentions, interleaver design (Dinoi and Benedetto,2005; Dobkin et al., 2005; Popovski et al., 2004; Thulet al., 2002) is the bottleneck of the parallel Turbodecoder. For certain inter…     

Conservation laws of some soliton equations with self-consistent sources

Infinitely many conservation laws for some (1+1)-dimension soliton hierarchy with self-consistent sources are constructed from their corresponding Lax pairs directly. Three examples are given. Besides, infinitely many conservation laws for Kadomtsev-Petviashvili (KP) hierarchy with self-consistent sources are obtained from the pseudo-differential operator and the Lax pair.     

Extension of reverse Hilbert-type inequality with some parameters

By introducing some parameters and estimating the weight function,we obtain an extension of reverse Hilbert-type inequality with the best constant factor.As applications,we build its equivalent forms and some particular results.     

Effect of enalapril on plasma homocysteine levels in patients with essential hypertension

Objective:To investigate the effect of enalapril on plasma homocysteine(Hcy) levels and the association of methylenetetrahydrofolate reductase(MTHFR) C677T polymorphism with the changes of Hcy levels in response to enalapril among patients with essential hypertension.Methods:A total of 130 patients with mild-to-moderate essential hypertension were enrolled and enalapril was orally administered at a dose of 10 mg/d for eight weeks.Plasma Hcy levels were measured by denaturing high-performance liquid chromatography(DHPLC) at baseline and after eight weeks of treatment.Genotyping of MTHFR C677T polymorphism was performed by TaqMan probe technique.Results:Compared with baseline,plasma Hcy levels did not change significantly after eight weeks(P=0.81).Stratified by baseline Hcy levels,a significant increase in plasma Hcy levels(P=0.02) among those with Hcy 10 μmol/L was observed,in contrast to no significant changes in plasma Hcy levels(P=0.54) among those with Hcy ≥10 μmol/L.No significant association was observed between MTHFR C677T polymorphism and changes in Hcy levels in response to enalapril.Conclusions:Enalapril may cause an increase in plasma Hcy levels among the hypertensives with low baseline Hcy levels.There was no significant association between MTHFR C677T genotypes and changes in Hcy levels in response to enalapril among subjects with essential hypertension.     

Meso-四-(3-5-二溴4-羟基苯)卟啉分光光度法测食品中铅含量

以食品为对象,研究了铅与Meso-四-(3-5-二溴-4-羟基苯)卟啉[T(DBHP)P]的配合反应,并对于溶液pH值、加热时间、表面活性剂用量、显色剂用量等对配合物的生成及稳定性的影响进行了探究,确定反应的最佳条件.经试验,当8-羟基喹啉存在时,铅在碱性条件下可与T(DBHP)P反应生成1:2的橙黄色化合物.该化合物在479 nm处有较强的吸收,当铅含量在0～12 μg/mL时,测得的曲线呈线性关系,服从比尔定律,重复性较好.经分光光度计测出其吸光度,绘制标准工作曲线,计算出铅的含量.结果表明:本实验所采用方法简便快速、安全,对环境污染小,且灵敏度较高,选择性较好,样品不需要分离出干扰离子,只需加入掩蔽剂即可消除钙离子和铁离子的影响.将该方法用于测定食品中铅的含量,取得了较满意的效果.