Cocentralizing and vanishing derivations on multilinear polynomials in prime rings

Let R be a prime ring of characteristic different from 2 and extended centroid C and let f(x1,..., x _n ) be a multilinear polynomial over C not central-valued on R, while δ is a nonzero derivation of R. Suppose that d and g are derivations of R such that

$\delta (d(f(r_1 , \ldots ,r_n ))f(r_1 , \ldots ,r_n ) - f(r_1 , \ldots ,r_n )g(f(r_1 , \ldots ,r_n ))) = 0$

for all r1,..., r _n ∈ R. Then d and g are both inner derivations on R and one of the following holds: (1) d = g = 0; (2) d = ?g and f(x ₁,..., x _n )² is central-valued on R.

     

三角矩阵上的Hochschild 2-循环广义若当导子

In this paper,we prove that every generalized Jordan derivation associate with a Hochschild 2-cocycle from the algebra of upper triangular matrices to its bimodule is the sum of a generalized derivation and an antiderivation.     

铽增敏高效液相色谱柱后衍生荧光检测法同时检测鸡肉中的三种氟喹诺酮类药物残留

基于氟喹诺酮类药物与铽离子形成配合物后的荧光增强作用,建立了同时检测鸡肉中氟喹诺酮类(FQs)药物环丙沙星、诺氟沙星和恩诺沙星残留的Tb3+增敏高效液相色谱（HPLC）柱后衍生荧光检测方法。优化的实验条件如下：流动相为0.05 mol/L 醋酸/醋酸钠缓冲液(pH 6.0)-乙腈(体积比为89∶11),色谱柱为Hypersil BDS-C18,柱温40 ℃,流速0.8 mL/min;Tb3+浓度为8×10-5 mol/L;衍生反应温度40 ℃,衍生泵流速0.5 mL/min;荧光检测激发波长271 nm,发射波长545 nm。实验结果表明,将上述3种药物以1.0,10.0,50.0,100.0 ng/g水平添加到鸡肉后的回收率范围为66.3%~88.0%,相对标准偏差（RSD）均小于15.0%。定量分析的线性范围为0.1~500 ng/mL,方法的日内和日间RSD均小于13.0%;最低检出限分别为0.05(环丙沙星)、0.05(诺氟沙星)和0.08(恩诺沙星)ng/g,比前人报道的非衍生高效液相色谱荧光检测法检测FQs药物的灵敏度有极大的提高。该项研究为FQs药物多残留检测提供了灵敏度更高的新方法。     

Wavefunctions for Particles with Arbitrary Spin

By solving rigorously the relativistic wave equations derived from Bargmann-Wigner equation for arbitrary spin,the relativistic wavefunctions in momentum representation for particles with arbitrary spin are deduced.     

花生中丁酰肼残留量的气相色谱法测定

提出了一种新的简单易行且相当便捷的方法,对样品的提取和衍生化反应的各种影响因素,色谱分离和测定的最佳条件进行了测定。方法的准确度和精密度指标均符合残留量分析方法的要求,对同一试样进行多次平行独立测定时其标准偏差不大于０．４％,变异系数不大于５．２５％,最低检测限为０．０２ｍｇ／ｋｇ,该方法适用于油籽、花生、苹果等级其制品中丁酰肼残留量的测定,可作为相关实验室的例行分析方法。     

关于半素环上微分恒等式的某些结果

本文主要讨论了半素环的微商满足某些分恒等式的问题,给出了如下结果：假设R是带有扩张形心C的素环,I为R的稠密单侧理想,d和g是Ｒ的微商,如果d(x)g(x)=g(x)d(x)对任意x∈Ｉ均成立,那么对第一个x∈Ｒ,d^2(x)=0,或者存在λx∈Ｃ使得d(x)-λxg(x)∈Ｃ,同时给出了半素环的微商满足某些微分恒等式的结果。     

${\cal U}_q(g)$在其正部分${\cal U}_q^ (g)$上的作用

In this paper, two kinds of skew derivations of a type of Nichols algebras are intro- duced, and then the relationship between them is investigated. In particular they satisfy the quantum Serre relations. Therefore, the algebra generated by these derivations and corresponding automorphisms is a homomorphic image of the Drinfeld-Jimbo quantum enveloping algebra Uq^＋（g）, which proves the Nichols algebra becomes a/gq（g）-module algebra. But the Nichols algebra considered here is exactly Uq^＋（g）, namely, the positive part of the Drinfeld-Jimbo quantum enveloping algebra Uq^＋（g）, it turns out that Uq^＋（g） is aUq^＋（g）-module algebra.