n元微分算子代数的导子李代数

讨论了n元微分算子代数及n元微分算子李代数的导子李代数结构，当n=1时，结果与文献[1]相同。     

拟结合BCH-代数

引入了拟结合BCH—代数的概念，给出了拟结合BCH—代数的一系列等价条件，并指出由一个拟结合BCH—代数可以构造出一个交换半群。     

SPL(2|1)超代数单参数非齐次微分实现

本文引入了单一实参数，构造了SPL（2｜1）超代数的单参数4维初等表示，获得了SPL（2｜1）超代数单参数齐次微分实现和非齐次微分实现本文的研究结果，对深入研究SPL（2｜1）超代数单参数不可分解表示和不可约表示，构建SPL（2｜1）超对称精确可解模型，具有十分重要的意义。     

一类新的Hom-李代数

本文在Long模范畴中定义了一类新的Hom-李代数,通过Hom-结合代数和扭曲映射分别给出构造方法。作为应用,在三维线性空间上和三维Heisenberg李代数上分别构造了Hom-李代数结构。     

一类形变微分算子李代数的形心

对形变微分算子代数的形心进行研究.主要利用李代数的分次以及形心的性质,计算了一类形变微分算子李代数g的形心,并进一步确定了它的泛中心扩张g的形心.     

一类Loop代数的研究

对给出的一个李代数构造了一类Loop n-Lie代数,并从n-Lie代数的导子代数出发,构造了Loop n-Lie代数的两个导子代数.     

构造图形解代数问题

构造三角形、圆、函数等几何图形解方程、证明不等式、证明恒等式等代数问题,充分利用几何直观性使代数问题变得直观、简洁.在数学解题中用构造法解题不仅使学生能直观地把握代数问题,而且有利于学生的数形结合思想的培养.     

关于无限维完备Lie代数

本文讨论了无限维Ｈｅｉｓｅｎｂｅｒｇ代数,Ｖｉｒａｓｏｒｏ代数与完备Ｌｉｅ代数的关系,用Ｋａｃ－Ｍｏｏｄｙ代数及ｌｏｏｐ扩张构造了几类无限维完备Ｌｉｅ代数。     

构造四边形巧解代数题

著名数学家华罗庚先生曾说过：“数形结合百般好，隔裂分离万事休”．有些代数问题，纯用代数方法求解往往很麻烦，甚至一时不知从何处下手．然而根据问题特征，巧妙地构造恰当的几何图形，用几何知识去解，往往能峰回路转，使问题解决简洁清晰，直观明快．本文举例说明构造四边形巧解代数问题，供同学们参考．     

模上李代数及其基本性质

本文把域上李代数的概念推广到了交换环上模代数，给出了同态基本定理等基本性质，特别是决定了秩2的自由模上所有模代数。     

卡思卡特城堡

It is worthy of noting that, whilst Crookston Castle witnessed the earlier and happier portion of Mary's variegated life,     

不同的吃喝玩乐

一、吃和喝吃苹果 eat an apple, 吃药 take medicine,吃糖 have some sweets,吃饭 have one's meals,吃馆子 dine out,吃惊 be surprised/     

漏洞百出的教育

Many college freshmen arrive woefully unprepared to do college work, and as disadvantaged populations continue to grow, the share of the American work force that has made it through college is expected to plummet. Many experts blame that educational failure not just on high schools but also on colleges. School & College, a special report by The Chronicle, looks at efforts to fix the system. What reforms would better prepare students for college? What should schools and colleges be doing differently? How should state and federal officials help?     

Western and Eastern culture differences in commercial field

The communication of people partially is the communication of cultures. Culture has a direct effect on international commercial activities in all aspects. Different conceptions about time, space, equality, law and the like, lead people to deal with things in different ways. So to know cultures of the counterpart is to facil-itate our enterprises so as to have a smooth and successful communication in commercial activity.     

只要努力,不要后悔

There are numbers of crossroads on our long and unpredictable life journey where we totally have no idea about which direction to choose. No matter what our decision is, we should not turn back, but face the music and go ahead instead. I am this kind of girl who always does try without regretting, one example is how I dealt with my love.     

浅谈移民问题

Migration occurs behind a variety of reasons and has a great effect on the whole world. People may migrate in order to improve their economic situation, or in order to escape civil strife, persecution, and environmental disasters. The impact of migration is complex, bringing both benefits anddisadvantages. This paper briefly talks about the causes of migration, the allocation of benefits, and the ways in which individual countries and the international community deal with this important subject.     

风的曲线

Rosco and I wait for the fishermen to return.I sit at a wooden bench near the store at Mt.Baker Resort and watch the clouds change shape. Rosco has my belt around his neck and an eight foot tow chain hooked to a tree. Dogs must be on a leash. Ducks and rabbits are loose.     

团图为数的图中的闭团贯数

Given a graph G,a subgraph C is called a clique of G if C is a complete subgraph of G maximal under inclusion and |C|≥2. A clique-transversal set S of G is a set of vertices of G such that S meets all cliques of G. The clique-transversal number, denoted as TC (G), is the minimum cardinality of a clique-transversal set in G. The clique-graph of G, denoted as K (G), is the graph obtained by taking the cliques of G as vertices, and two vertices are adjacent if and only if the corresponding cliques in G have nonempty intersection. Let F be a class of graphs G such that F={G|K(G) is a tree}. In this paper the graphs in F having independent clique-transversal sets are shown and thus TC (G)/|G|≤1/2 for all G ∈ F.     

Sister Carrie, an Adherent of Desires

Sister Carrie is one of the most controversial characters in American literature.Thought as a "fallen woman" firstly,she was defined as a "new woman" by some critics later. However, by digging into the motivaton behind the whole process of Carrie's "success", the relationship between Carrie and her creator (the author), the social conditions of then American, it can be found that Carrie has never been free-standing on her thought and she has never found her real-sdf even after becoming a famous actress. In a society dominated by mass consumerism Carrie is only an adherent of her own desires. She also is a representative of all those country girls flooded into cities, a symbol and a sacrifice of the urbanization of America in a time countryside was overcome by cities.