共查询到20条相似文献，搜索用时 62 毫秒
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环是指具有单位元的结合环,而一般环是指有或没有单位元的结合环．一般环I称为是强Clean的,如果I中每个元素α具有下述的形式a=e＋q,其中e^2=e∈I,q∈Q（I）={q∈I｜q＋p＋qp=p＋g＋pg=0对某个P∈I}且eg=qe．这一概念是Nicholson中强Clean环概念的真推广．强Clean一般环的刻画给出了．基于此,证明了强Clean一般环的单边理想也是强Clean的,并证明了如果I是强Clean一般环,那么,对于任意x∈I,I在x处的局部环Ix也是强Clean的．特别地,强Clean一般环的角落子环eRe总是强Clean的对于任意的e^2=e∈I．这推广了Chen中的主要结果． 相似文献
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称一个环R中的元素a是唯一强clean的,如果a可以唯一地表示成幂等元和可逆元的和且二者可交换.称环R是唯一强clean的,如果R中每一个元素都是唯一强clean元.研究了n×n阶三角矩阵环的唯一强clean性.设R为局部环,证明了环R上的任意n×n阶上三角矩阵环是唯一强clean的当且仅当R是唯一bleached的且... 相似文献
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陈卫星 《南阳师范学院学报》2006,5(6):12-13
所讨论的环均是有单位元的结合环.本文称环R为GVNL-环,如果对任意的a∈R,a或1-a是π-正则的.证明了如果R是弱duo GVNL-环而S为R的非空子集,那么当S在R中生成的右理想(S)r=R时在S中必有一个元素是π-正则的. 相似文献
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题目 设f（x）是定义在区间（1,＋∞）上的函数,其导函数为f′（x）．如果存在实数a和函数h（x）,其中h（x）对任意的x∈（1,＋∞）都有h（x）〉0,使得f′（x）=h（x）（x^2-ax＋1）,则称函数f（x）具有性质P（a）． 相似文献
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朱正明等同志的《次交换环及其理想》一文(见《江西教育学院学刊》1984年第1期)建立了次交换环的概念,理想和分解定理。本文主要介绍次交换环的幂零元、诣零理想、素理想等概念并研究次交换环的 n 根及其有关性质。定义1 设 R 是结合环,且对 R 中的任意三个元素 a,b,c 均有abc=acb那么称 R 为次交换环。定义2 x 是次交换环 R 的一个元素,如果有一个正井数 n,使得 x~n=0,则称 x 是幂零元。定义3 I 是次交换环 R 的一个理想,如果 I 中每个元素都是幂零元,则称 I 为诣零 相似文献
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进一步研究了由Ara首次引入并研究的没有单位元的exchange环.给出了它的一些新的等价刻画和性质.例如:一个一般环I是exchange的当且仅当对它的任意理想L以及-a=a-2∈I/L,存在w∈r.ureg(I)使得-w=-a;E(R,I)(环R通过它的理想I生成的理想扩张)是一个exchange环当且仅当R和I都是exchange环.还证明了如果环R的双边理想I是一个exchange一般环,则I的每一个中心元素都是I中一个clean元素. 相似文献
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引入右可逆环的定义,同时将可逆环的一些结论推广到右可逆环上．证明了右可逆环上的n×n上三角矩阵环Tn（R）是右可逆环;R是右可逆环,则R[x]／（x^n）是右可逆环,其中对任意正整数n,（x^n）是由x^n生成的理想． 相似文献
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李乃微 《赤峰学院学报(自然科学版)》2013,(17):5-7
伽罗瓦数域L称有一个幂元整基,如果其代数整数环具有形式Z（α）,其中α∈L．此时称仅是L的幂元整基生成元．设α,β是L的两个幂元整基生成元,若β=m±δ（α）,m∈Z,m∈Z,δGal（L／Q）,则称a与β等价．本文主要研究分圆域Q（ζ24）的幂元整基问题．分圆域Q（ζ24）的代数整环是Z[ζ24],所以ζ24是Q（ζ24）的幂元整基生成元．设α是Q（ζ24）的幂元整基生成元,证明了当α＋α≠Z时,z[α]=Z[α]=Z[ζ24],则Q与ζ24等价．从而给出在此条件下分圆域Q（ζ24）的所有幂元整基生成元． 相似文献
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张存侠 《陕西教育学院学报》2009,25(4):76-78
设A是复数域C上含单位元I的代数,且φ：A→A是一个线性映射.如果对任意的a,b∈A且ab=0,有φ（[a,b]）=[φ（a）,b]＋[a,φ（b）]-aφ（I）b＋bφ（I）a,则称φ是A上的零点广义Lie可导映射;如果对任意的a,b∈A,都有φ（ab）=φ（a）b＋aφ（b）-aφ（I）b,则称φ是A上的广义导子.本文证明了套代数上的每个零点广义Lie可导映射是广义导子. 相似文献
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罗艳萍 《读与写:教育教学刊》2008,5(6)
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. 相似文献
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Richard Denner 《海外英语》2007,(4):14-15
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. 相似文献
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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. 相似文献
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邱崇丙 《唐山师范学院学报》2014,(1):21-23
汉字的六书,《说文》对“转注”一类,语焉不详。后世学者提及转注,也仅限于许慎所举出的例字。《汉字例说》一文,作者从转注的角度综合考虑,对部分现代常用字作了分析,跟传统的解释有所不同。希望能抛砖引玉,互相切磋,以推进学术研究。 相似文献
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《海外英语》2007,(5):10-11
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? 相似文献
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陈美曦 《山东教育学院学报》2008,23(2):103-107
Different nations have different social cultures, and the social culture of every nation is developing with the development of the nation, language is greatly influenced by social culture, which enables language to possess national and historical characteristics. Word is the smallest, independent, meaningful linguistic unit of language. It can well reflect the national and historical characteristics. From synchronic aspect, the social and cultural influence on word meaning is mainly embodied in conceptual and associative meanings of word. The incorrespondence of word meaning is a phenomenon that exists in both conceptual and associative meanings of word among different languages. From diachronic aspect, the development of social culture causes some changes of word meaning to some extent. Therefore, social culture plays a key role in vocabulary learning and mastery of a language. 相似文献
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Rachel Zupek 《海外英语》2007,(11):40-41
我们绝大部分人都同意一件事情——我们喜欢金钱。但是你对金钱的喜欢之情足够到让你创立一份事业么?.财富通常被人忽视,主要在于人们不能真正了 相似文献
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YANGShiguo 《重庆大学学报(英文版)》2004,3(1):86-88
The problem on the geometrc inequalities involving an n-dimensional simplex and its inscribed simplex is studied. Aninequality is established, which reveals that the difference between the squared circumradius of the n-dimensional simplex andthe squared distance between its circumcenter and barycenter times the squared circumradius of its inscribed simplex is not lessthan the 2(n-1)th power of n times its squared inradius, and is equal to when the simplex is regular and its inscribed siplex is atangent point one. Deduction from this inequality reaches a generalization of n-dimensional Euler inequality indicating that thecircumradius of the simplex is not less than the n-fold inradius. Another inequality is derived to present the relationship betweenthe circumradius of the n-dimensional simplex and the circumradius and inradius of its pedal simplex. 相似文献