查询词典 universally minimal right ideal

The first chapter, main instead " duo-ring " condition of " every maximal left ideal is GW-ideal " condition,study strongly regularities of GP-V-ring on this condition.lt is shown that (1) R is strongly regular iff R is left GP-V-ring whose maximal left ideals are GW-ideal.(2)R is strongly regular iff R is left GP-V-ring whose maximal right ideals are GW-ideal. The second chapter, generalize some results of GP-V-ring to GP-V-ring, discuss regularity of GP-V-ring.It is shown that (1) R is left self-injective regular with non-zero socle iff R is left GP-V -ring with Soc = Soc and R contains an injective maximal left ideal.(2)R is regular ring and every maximal essential left ideal is ideal iff R is left GP-injective left GP-V -ring and every maximal essential left ideal is ideal.

第一章主要将"duo-环"条件替换成"每一极大左理想是GW-理想"条件，研究在此条件下，GP-V-环的强正则性，证明了：(1)R是强正则环当且仅当R是左GP-V-环且R的每一极大左理想是广义弱理想；(2)R是强正则环当且仅当R是左GP-V-环且R的每一极大右理想是广义弱理想，第二章，主要将GP-V-环上一些结果推广到GP-V′-环上，讨论GP-V′-环的正则性，证明了：(1)R是左自内射正则环且Soc≠0当且仅当R是包含内射极大左理想的GP-V′-环，且Soc=Soc；(2)R是正则环且每一极大本质左理想是理想当且仅当R是左GP-内射的左GP-V′-环且每一极大本质左理想是理想。

Finally, it investigate QF-ring with right gpm-injective, and obtain the following theorem:Theorem The following statements are equivalent:(1) R is quasi-Frobeniusean ring:(2) R is right noetherian, left pm-injective ring, right pm-injective ring;(3) R is right noetherian, left pm-injective ring, right GP-injective ring;(4) R is right noetherian, left gpm-injective ring, right gpm-injective ring;(5) R is right noetherian, right gpm-injective ring and each right minimal ideal is right annihilator.

最后用右gpm-内射对QF环进行研究，得到了如下定理：定理下列条件等价：(1) R是quasi-Frobeniusean环；(2) R是右Noether，左pm-内射环，右pm-内射环：(3) R是右Noether，左pm-内射环，右GP-内射环；(4) R是右Noether，左gpm-内射环，右gpm-内射环；(5) R是右Noether，右gpm-内射环且每个极小右理想是右零化子。

It's thought that the shareholder's right consists self-profit right andcommon-profit right in company theory now,but in fact,shareholder's many rightscannot be reduced to self-profit right or common-profit right.After analysis inthis article,the shareholder's rights which are not self-profit right norcommon-profit right can be disparted into two categories,and the author named themexpectancy right and coexistence right.In this way,shareholder's right consistsnot only self-profit right and common-profit right but two new sorts ofshareholder's right,which are expectancy right and coexistence right.

现在的公司法理论均将股东权分为自益权与共益权，但事实上，股东的很多权利不能用自益权和共益权进行概括；本章经过认为分析，将不能用自益权与共益权概括的股东权分为两类，并分别将其命名为期待权和共处权，这样，股东权除了包括自益权和共益权外，又有了两种新的股东权，即期待权和共处权。

Next, we discuss the relations between left quasi-dual bimodules and left dual-bimodules, we obtain that a left quasi-dual bimodule is a left dual bimodule if it satisfies one of the following conditions: sM is minimal injective and MR is a M-minimal injective kasch-module; MR is a M-minimal injective kasch-module and for any two ideals LI and L2 ofSS rM(L1 n L2)-rw(L1)+rM(I2); sM is minimal injective and for any two submodules A and B of MR,Lastly, we applicate the quasi-duality on smash product algebra R#H, and obtain an answer of the semiprime problem, i.e., let H be a finite-dimensional semisimple Hopf algebra and R be an H-module algebra, if R is left quasi-dual and semiprime, then R#H is semiprime.

我们得到：一个左拟对偶双边模如果满足下列条件之一，则它将成为一个左对偶双边模：_sM是单内射的并且M_R是一个M-单内射kasch-模；M_R是一个M-单内射kasch-模并且对_sS的任意两个理想，有r_M(L_1∩L_2)=r_M(L_1)+r_M(L_2)；_sM是单内射的且对M_R的任意两个子模，有l_s=l_s+l_s。2 在第2.3节中我们将拟对偶性应用于smash积代数R#H，部分解决了半素问题。

Secondly, by using the connection, we prove that the minimal continuous semi-flow is the minimal continuous flow if its time-one map is open, and for any minimal continuous semi-flow, there is an invariant residual set such that the restriction to the set is a minimal continuous flow.

为此，我们首先建立了它与其时间1映射极小集的联系；然后，利用这种联系证明了：若时间1映射为开映射，则它是极小的连续流，并且一般地说来，对任意极小连续半流，存在不变的剩余集，使得它在这不变集上的限制是极小的连续流。

Difficult for farmers treatment, the children can go to school, Changsha City financial arrangements over 8,000 million breakthrough started the integrated rural minimal assurance work and serious illness mainly rural cooperative medical system pilot; To conscientiously carry out social security work, Changsha City in improving urban and rural minimal assurance standards, the expansion of coverage on the basis of minimal assurance, also willing to implement urban and rural households minimal assurance subsidies; To enter peasant workers live and work, Changsha City built over 50,000 square metres of low-cost housing.

针对农民看病难、小孩上学难的问题，长沙市财政安排8000多万元突破性地启动了农村低保工作和以大病统筹为主的农村合作医疗制度试点工作；为认真做好社会保障工作，长沙市在提高城乡低保标准、扩大低保覆盖面的基础上，还对城乡低保户实行过节补贴；为了进城农民工安居乐业，长沙市修建了5万多平方米的廉租房等。

This article on the minimum life security issues discussed, for the countrys current minimal assurance system and the minimal needs of the problems encountered in the process, establish a more scientific and rational model of the minimal needs, solve some minimal assurance of related issues.

本文就最低生活保障问题展开探讨，针对当前国家低保制度及低保的实施过程中遇到的问题，建立了一个比较科学合理的低保模型，解决了一些低保的相关问题。

In vector optimization one investigates optimal elements such as minimal, strongly minimal, properly minimal or weakly minimal elements of a nonempty subset of a partially ordered linear space.

前言在向量最优化中，人们研究偏序线性空间中非空子集的最优元，比如极小元，强极小元，真极小元或者弱极小元。

So This thesis maintain right mortgage right to allow thing right for hypothec that target establish or with movable property thing right of all right, its target is concrete should include farmland right to use , base right to use , natural resources right to use and allusion quatation right; in a situation that cant justify oneself in right system of the right quality , set up a system of guaranteeing central right with hypothec system of the right; house property and real estate can be differentiated the mortgage.

因此，本文主张权利抵押权是以所有权以外的不动产物权或准物权为标的而成立的抵押权，其标的具体应包括农地使用权、基地使用权、自然资源使用权和典权；在权利质权制度无法自圆其说的情况下，建立一个以权利抵押权制度为核心的权利担保制度；房产和地产可以分别抵押。

From the view of algebra,the concrete constructions of ideal s and ideal conuclei on right-sided and idempotent Quantale are studied,and it is proved that every ideal is a principal ideal and every ideal conucleus is simple.

从代数角度研究了右侧幂等Quantale中的理想和理想余核的具体结构，并且证明了右侧幂等Quantale中的理想和理想余核分别是主理想和简单理想余核。

Although translator has turned from being a crystal ball by which the original culture can unrestrainedly penetrate to another crystal ball by which the target culture can freely traverse, the translator's personal embodiment, in the process of cognitive act, are still absent in translation studies. Translators are still subjects without body or simply disembodied subjects.

译者虽然由原语文化可以自由穿透的玻璃球变成了译语文化可以自由穿越的玻璃球，但译者认知过程中的个体体验在翻译研究中依然缺席，译者依然仅仅是一个没有躯体体验的主体。

Chillingly, he claimed our technology is 'not nearly as sophisticated' as theirs and "had they been hostile", he warned 'we would be been gone by now'.

令人毛骨悚然的，他声称我们的技术是'并不那么复杂，像他们一样，和"如果他们敌意"，他警告说，'我们将现在已经过去了。