拟正则元

In section one, we study regular cu-rings by use of full elements in rings, and give some equivalent conditions for the endomorphism ring of quasi-projective modules and quasi-injective modules to be a cu-ring.

在第一部分，我们利用环中的完全元对正则cu-环进行刻画，并给出了拟投射模和拟内射模的自同态环是cu-环的一系列等价条件。

There have been a lot of studies this aspect when the exact solution u∈H~2 or u∈H~3. [4], [52] and [50]studied the convergence of conforming linear triangle elements with minimal regularity assumptions u∈H~4, here u is the solutions of the second order elliptic problems. However, their is another vital deficiency of the previous studies, i.e., they relies on the regularity assumption or quasi-uniform assumption on the subdivision of meshes.

对二阶问题，构造了一个新的单元格式，当其精确解具有低正则性时，在不要求网格满足正则假设或拟一致假设的条件下，我们得到了最优误差估计，与[33]相比，我们的证明方法较为简单；对于Stokes问题，研究五节点非协调矩形元对它的逼近，通过引入全新的估计方法，给出了关于速度、压力的超逼近性质。

On the basis, three equivalent statements are obtained. Let S be a semigroup with left central idempotents, then (1) S is a quasi-right semigroup;(2) S is a quasi-completely regular, and RegS is an ideal;(3) S is a nil-extension of strong semilattice of right semigroup.

在此基础上得到了3个等价命题：若S为具有左中心幂等元半群，则(1) S为拟右半群；(2) S为拟完全正则的，RegS为S的理想；(3) S为右群强半格的诣零理想扩张。

By using properties of quasi-regular semigroups and left central idempotents, some statements are proved. Let S be a quasi-right semigroup, then (1) S is a quasi-completely regular semigroup;(2) RegS is a completely regular semigroup;(3) R(superscript *) is the smallest semilattice congruence on S;(4) Each R-class T(subscript α) on RegS is a right group;(5) T(subscript α)G(subscript α)×E(subscript α), where G(subscript α) is a group, E(subscript α) is a right zero semigroup.

利用拟正则半群和左中心幂等元的性质，证明了S为拟右半群时，(1) S为拟完全正则半群；(2) RegS为完全正则半群；(3) R为S上的最小半格同余；(4) RegS上的每个R-类T为右群；(5) TG×E，其中G为群，E为右零半群。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐