7维二步幂零李代数的分类

用具体构造的方法,选取合适的极小生成元系,给出了不可分解的7维二步幂零李代数的分类.     

一类Block李代数的自同构群

研究了一类Block李代数的自同构,刻划了此类李代数的自同构群。     

最低维幂零二次李代数与度量3-Lie代数

给出了维数不大于5的幂零李代数L的F(L)结构,证明了在特征不为2的域中维数最低的幂零二次李代数的维数等于5.在同构的意义下仅有一类5维幂零二次李代数,其度量维数等于4.最后对5维二次李代数进行2-扩张,得到了唯一的一类度量3-李代数,并且证明了此度量3一李代数的度量维数等于8.     

一类无限维李代数的中间序列模的分类

讨论了一类型与Virasoro李代数相关联的无限维李代数,利用已有的Viraeoro李代数的中间序列模的结果和研究方法,完全确定了此类无限维李代数的中间序列模的分类．     

2半单的4维3-李代数

研究了2半单的4维3．李代数的一个应用．证明了实数域上的2半单的4维3-李代数A是lorentz群O（p,3-P）与3维Abel正规子群的半直积．特别地,当P=0时,A是3维欧氏空间的等距变换群的3-李代数．     

一个5-维可解李代数的Hom-Lie代数结构

基于Hom-同态在基元上保持方括号运算及满足Hom-Jacobi等式,通过比较Hom-同态作用后等式两边系数,确定了以3-维Filiform李代数为幂零根基的5-维可解李代数的Hom-Lie代数结构。     

一类低维可解李代数

构造了复数域上维数为5的以最简线状李代数为幂零根基的不可分解可解李代数.     

一类不定型Kac-Moody李代数

本文给出新的一类不定型Kac－Moody李代数──SH型李代数的定义，完全刻划了它的虚根，证明了不可分解SH型Cartan矩阵为“good”，且给出不可分解可对称化的广义Cartan矩阵为SH型李代数的Cartan矩阵的一个充分必要条件。     

半单的5-维3-李代数

对特征为2的完备域上的所有5-维3-李代数的可解性、半单性进行了研究,证明了在同构的意义下仪存的唯一的一类(导代数的维数等于3时的d2类)半单的5-维3-李代数.     

一类Schrdinger-Virasoro李代数的Leibniz 2-上循环（英文）

近来各种Schrdinger-Virasoro李代数推广与变形得到了广泛的研究.本文计算一类Schrdinger-Virasoro李代数2维中心扩张所有的Leibniz 2-上循环,从而确定了这类李代数的Leibniz中心扩张.     

浅谈理想的运算

~~浅谈理想的运算@白景山$河北软件职业技术学院!河北保定071000~~~~~~     

二次域理想类数生成元的求解及计算机实现

二次域上的理想类数是有限的,文章利用理想类、类群的相关性质,通过计算机编程,求解出二次域Z(D)的类数及理想的代表。     

A Note on Complete Color Lie Superalgebras

ＡＮｏｔｅｏｎＣｏｍｐｌｅｔｅＣｏｌｏｒＬｉｅＳｕｐｅｒａｌｇｅｂｒａｓＺｈｏｕＪｉａｎｈｕａ（周建华）（ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，ＳｏｕｔｈｅａｓｔＵｎｉｖｅｒｓｉｔｙ，Ｎａｎｊｉｎｇ２１００１８）Ａｂｓｔｒａ...     

环中Lie理想上的右导子

文中研究了环中的右导子,通过对环的限制和已有结论,证明了当R为2-扭自由的环,若可加映射d在Lie理想上满足右导子性质时,证明了一些恒等式成立。     

可换环的两种理论在DQC-环中推广

将交换环中关于一个理想的极小素理想和极大素理想的两种理论推广到ＤＱＣ一环中,得到了与交换环中相近的重要结果．因而这一推广具有重要的理论意义．     

Our teachers want to be the best: on the necessity of intra‐professional reflection about moral ideals of teaching

Teaching is a significant social good and therefore teachers as well as the state have to take responsibility for guarding the moral quality of the teaching practice. Based on this premise, the article describes and defends the view that these parties have their own particular role by means of literature review and theoretical and practical arguments.

The role of the state is necessarily limited to defining minimal moral rules and obligations, because in liberal Western democracies morality is codified in law to a minimal degree. The state also has practical reasons for such a confined position, among which are the complexities of professional practice and its implied tacit knowledge.

Teachers have to take responsibility for constructing the full width of professional morality, but particularly for defining its optimal or aspirational dimension. This dimension comprises the virtues deemed important for teachers as well as their professional ideals. Whereas the literature on professional ethics of teachers is relatively silent about professional ideals, several arguments are provided for the importance of ideals for teachers.

The final part of the article defends the claim that teachers have to articulate their professional ideals through intra‐professional dialogue. Again, theoretical and practical arguments are provided, for instance that such a debate provokes teachers to think about the best aims and means of their profession and that it contributes to the sense and meaning of their work. The article ends with some practical implications of the theoretical exposé.     

一类李代数的阶化最高权模

在圈代数、扭圈李代数、多圈李代数、扭多圈李代数四类李代数的基础上,定义了一类新的李代数,并研究了这类李代数的阶化最高权模。     

The Importance of Ideals in Education

The article argues that it is important to offer children ideals. Ideals are defined as imagined excellences, which are so desirable that people will try to actualise them. These characteristics show the importance of ideals for people: ideals give direction and meaning to their lives. The motivating power of ideals can, however, also lead to fanaticism. Education should therefore involve several worthy ideals that children can commit themselves to as well as critical reflection on the ways in which people are committed to and try to actualise them.     

列锦文本的构成机制

通过对大量列锦文本的考察,我们发现列锦中"名词或名词性短语的组合"不是任意的,不是杂乱无章的,而是有一定规律的。从宏观上看,列锦的构成成分存在空间上接近、时间上相继、类别相近、性质相似、并列对举以及相反相成等关系;从微观上看,各组成成分的排列遵循空间顺序原则,时间顺序原则,整体在前、部分在后原则,显著性原则等。此外,列锦所由构成的成分之间的顺序也受到语音等因素的制约。