矩阵Γ_(n,m)—环M_(m,n)的F—正则性

讨论Γ—环M上的矩阵Γ_(n,m)—环M_(m.n)的F—正则性。得出Γ_(n.m)—环M_(m.n)的理想Q为F—正则理想的充要条件是在Γ—环M中存在F—正则理想P使得Q=P_(m,n)。     

S—系统F(+,·,1)的值位与赋值Near—环

给出赋值Near—环、S—系统赋值和F—值位的定义,得出S—系统等价的值位类和赋值Near—环之间的对应关系。     

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。     

Γ—环根的模刻划

本文引进了Γ—环的素模、Levitzki—素模的N—素模的概念,利用它们分别对Γ—环的素根,Levitzki—根和诣零根进行了模刻划,同时也给出了这些根的素理想刻划。     

Γ—环的Brown－McCoy性质

Ｂｒｏｗｎ－ＭｃＣｏｙΓ—环定义为听有同态象的素根等于Ｂｒｏｗｎ－ＭｃＣｏｙ根的Γ—环，建立了Γ—Ｍ、矩阵Γｎ，ｍ—环Ｍｍ，ｎ、Ｍ的左算子环Ｌ的各种Ｂｒｏｗｎ－ＭｃＣｏｙ性质之间的关系。     

半群环的根

本文讨论了半群环Ｒ［Ｓ］的Ｂｅａｒ—根和Ｊａｃｏｂｓｏｎ—根，把［３］中关于群环的上述根的有关结论推广到半群环上去，给出了Ｒ［Ｓ］为Ｂ—半单环和Ｊ—半单环的充分和必要条件。     

薄层色谱分离—紫外光度法测定稻瘟灵主成份

本文研究了以硅胶G为吸附剂的薄层色谱法从农药稻瘟灵原油或乳油中分离出主成份1,3—二硫戊环—2—叉—丙二酸二异丙酯(DIDM)的最佳条件,拟定了用紫外分光光度法测定样品中DIDM含量的实用的新方法.     

Γ—环的广义诣零根及RΓ—模刻划

本文在结合Γ—环中引进了广义诣零根Ng的概念,证明了Ng是个遗传根,得到了Ng—半单Γ—环的结构定理,并用RΓ—模对广义诣零根Ng进行了模刻划。本文是一般结合环根理论的推广,结合环中某些熟知结果已成为本文的特款。     

L-fuzzy子环的L-fuzzy素理想的刻划

给出了 L—fuzzy 子环的 L—fuzzy 素理想的概念,并给出了它的等价刻划。     

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.