一类项链李代数的商代数

本文从一类特殊的箭图出发构造项链李代数.首先证明其项链字均为C类元,接着寻找它的一个理想,使得由这个理想得到的商代数是交换的,从而是幂零的.最后,我们从P和H出发,构造出一个正合序列.     

Seeking big ideas in algebra: the evolution of a task

In this paper we describe a strand of activities for teachers of mathematics that we used with two cohorts of participants in a professional development program called Revitalizing Algebra (REAL). We first discuss our goals and describe the participants, and then we describe the construction and selection of the tasks followed by teacher responses. Finally, we reflect on different iterations of the tasks, their impact on the teachers’ thinking and practice, and the role of school and department culture in the process of change.     

多出口串行生产线系统矩阵的行列单调性

研究了极大代数意义下矩阵的行列单调性质，给出了带缓冲器的多出口串行生产线系统矩阵的行列单调性．     

气体混合时的温度佯谬和自由能佯谬

本文从量子统计出发证明了:1.不同组元的弱简并量子理想气体在粒子质量差δ→0时,绝热混合后其温度T将有一突变的极值量,等温混合后自由能F也有一突变的极值量;2.当粒子热波长λ远小于粒子间的平均距离d时,此极值量与经典理想气体的热力学计算结果一致;3.温度佯谬和自由能佯谬本质上是由组元粒子数密度的突变所引起的,     

向量最优化问题的最优性条件

定义了几种集值映射的广义凸性，研究了相应的性质刻画及其Gordan—Farkas型定理，并利用此Gordan—Farkas型定理给出了集值映射向量最优化的最优性条件．     

弱量子代数wU_i~d的最高权模和中心

wUid是一个d-型的弱量子代数mqd(g)的子代数.给出了wUid的最高权模的定义和性质,并构造了它的中心.     

Apprehending Mathematical Structure: A Case Study of Coming to Understand a Commutative Ring

Abstract algebra courses tend to take one of two pedagogical routes: from examples of mathematics structures through definitions to general theorems, or directly from definitions to general theorems. The former route seems to be based on the implicit pedagogical intention that students will use their understanding of particular examples of an algebraic structure to get a sense of those properties which form the basis of the fundamental definitions. We will explain the transition from examples to abstract algebra as a series of shifts of attention and in this paper we will use a case study to examine the initial shift, which we will call apprehending a structure, and examine how one student came to apprehend the structure of the commutative ring Z₉₉.     

限制李代数P-映射的重要性质及应用

本文利用文献【1～3】中限制李代数的P-映射的一些已有性质，获得了P-映射的一些其它重要性质，并且利用这些性质证明了文献【4】中的限制李代数的一个猜想在代数闭域条件下是成立的。     

带缓冲器的多入口串行生产线的无阻塞最优控制

本文讨论了带缓冲器的串行生产线的无阻塞最优控制问题,给出了多入口情况下串行生产线的加工状态方程及其最优控制。