共查询到20条相似文献，搜索用时 62 毫秒
1.
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
2.
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
3.
文章给出了M-斜Armendariz环的定义,并对其进行了研究,证明了(1)设M是幺半群,R是M-斜Armendariz环(关于α),I是R的零化子理想且任意的g∈M,I(g)(I)■I,则R/I是M-斜Armendariz环(关于α);(2)设对任意的g∈M,有g(g)(1)=1,且R是g-rigid环,则R[x]/(xn)是M-斜Armendariz环. 相似文献
4.
介绍了强π-正则一般环(未必有单位元)的概念并考虑了它的一些扩张.给出了强π-正则一般环的2个等价刻画,即I是强π-正则一般环当且仅当对于每个x∈I,存在n≥l以及y,z∈I,使得xn=xn 1y=zxn 1当且仅当I中的每个元都是强π-正则的.还考虑了强π-正则一般环上的上三角矩阵一般环和平凡扩张,证明了强π-正则一般环上的上三角矩阵一般环仍是强π-正则的并且其平凡扩张是强clean的. 相似文献
5.
关于YJ-内射模与强正则环的刻画 总被引：1，自引：0，他引：1
雷震 《洛阳师范学院学报》2006,25(5):1-3
令N(R)={x|x2=0,x∈R},记“环R满足(*)”如果对于任意的a∈N(R),元a的左零化子是环R的双边理想.本文目的是研究满足(*)的环的von Neumann正则性,证明了:若环R满足(*),则下列条件是等价的:(1)R是强正则的,(2)R的每一个极大的本质的右理想是YJ-内射的右R-模,(3)R为右GP-V-环,且每一个极大的本质的右理想为广义弱理想.(4)R为左GP-V-环,且每一个极大的本质的右理想为广义弱理想. 相似文献
6.
王尧 《鞍山师范学院学报》2004,6(2):1-4
设Ω是一个具有左(右)消去律的Monoid.给定两个有1的Ω-分次环A=( )x∈Max和B=( )x∈MBx以及一个Ω-分次(A,B)-双模V=SVT=( )x∈MVx,由它们确定一个Ω-分次三角矩阵环T=(AV0B)=( )x∈M(AxVx0Bx).本文证明T是分次右遗传环当且仅当(I)A和B都是分次右遗传环;(ii) AV是平坦模;(iii)对任何K≤grAA,(V/KV)B是投射模. 相似文献
7.
《东南大学学报》2017,(2)
结合广义逆理论研究了环中平等投影(EP)元、正规元和对称元的性质和一些等价刻画.给出了在核逆存在的情况下元素为EP元的一些等价条件.设a∈R~■,那么a是EP元当且仅当aa~■a~#=a~#aa~■.同时,讨论了正则元是EP元的等价刻画.设a∈R,那么存在b∈R,使得a=aba且a是EP元当且仅当a∈R~■,a~■=a~■ba.同样地,给出了在核逆存在的情况下元素为正规元的一些等价条件.设a∈R~■,那么a是正规元当且仅当a~*a~■=a~■a~*.而且在群逆和Moore-Penrose逆存在的情况下给出了元素为正规元和对称元的一些涉及次数的等价条件.设a∈R~+∩R~#,且存在n∈N,那么a是正规元当且仅当a~*a~+(a~#)~n=a~#a~*(a~+)~n.结果推广了Mosi等人的结论. 相似文献
8.
弱M-Armendariz环(英文) 总被引：1，自引：0，他引：1
对于幺半群M,引入了弱M-Armendariz环的概念,此概念是M-Armendariz环和弱Armendariz环的共同推广.研究了这类环的性质,并且证明了:R是弱M-Armendariz环当且仅当对任意的n,R的n阶上三角矩阵环Tn(R)是弱M-Armendariz环:如果I是环R的半交换理想,使得R/I是弱M-Armendariz环,则R是弱M-Armendariz环,其中M是严格全序幺半群;如果R是半交换的M-Armendariz环,则尺是弱MxN-Armendariz环,其中N是严格全序幺半群;有限生成Abelian群G是torsion-free的当且仅当存在一个环尺,使得R是弱G-Armendariz环. 相似文献
9.
10.
裴银淑 《鞍山师范学院学报》2002,4(3):25-27
一个环称为可分的,如果它的扭理想是直和项.本文研究可分环模一个诣零理想的提升问题.证明了如果环R满足条件:对任意a∈R,若存在幂等元e和f,使得(1-e)a(1-f)=0且R模一个诣零理想后是可除理想与扭理想的和,则R是它的一个可除理想和一个扭理想的和. 相似文献
11.
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
12.
13.
14.
《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
15.
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
16.
《海外英语》2007,(4):36
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. 相似文献
17.
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
18.
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. 相似文献
19.
20.
GUO Bao-feng Xiao Da-wei 《重庆大学学报(英文版)》2005,4(3):129-133
Using virtual reality for interactive design gives a designer an intuitive vision of a design and allows the designer to achieve a viable, optimal solution in a timely manner. The article discusses the process of making the Virtual Reality System of the Humble Administrator＇s Garden. Translating building data to the Virtual Reality Modeling Language （VRML） is by far unsatisfactory. This creates a challenge for computer designers to do optimization to meet requirements. Five different approaches to optimize models have been presented in this paper. The other methods are to optimize VRML and to reduce the file size. This is done by keeping polygon counts to a minimum and by applying such techniques as object culling and level-ofdetail switching. 相似文献