查询词典 finitely generated ideal

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。

The results show that the air crossing pressure pulse magnitude of the container generated in the tunnel is 3.46 times that generated in open air when container flat wagon at the speed of 160 km/h passed by EMU moving at the same speed. Both the lateral force and overturning moment of the container train during the crossing induced in open air and tunnel are approximately proportional to the square of running speed of the passing train. The pressure of crossing side and uncrossing side for the container flat wagon is almost equal since the one-dimensional characteristic of pressure distributing induced in the tunnel is not faintish. Consequently, the value of the lateral force and overturning moment of the container train generated in open air is greater than that generated in the tunnel, about 1.1 times.

研究结果表明：集装箱平车以160 km/h的速度与动车组等速交会时，在隧道内会车时车载集装箱中部压力变化幅值是在明线会车时的3.46倍；在明线和隧道内会车时，集装箱列车受到的侧向力和侧滚力矩均与交会列车运行速度近似成平方关系；因隧道内压力分布一维特性较强，集装箱平车交会侧与非交会侧压力相差并不大，因此，在明线会车时集装箱平车受到的侧向力和侧滚力矩均比隧道会车时的大，大约是其1.1倍。

The results of study showed that there were many interference signals in discharge detection signal for the DC feeder cable, which determined by the special electric wiring of the cable. The results of laboratory simulation and field measurement showed that the main interferences involved discharge pulse generated by other equipments of the traction substation, white noise, rectifying pulse generated by the rectifying equipments, current pulse generated by the braking of the locomotive,stochastic pulse signal, and narrow-band signal generated by electric equipment.

研究结果表明直流馈出电缆的电气接线以及负荷特点决定了其放电监测中存在大量的干扰信号，干扰信号包括白噪声、交流侧放电脉冲、直流侧其它设备的放电脉冲、整流装置产生的整流脉冲、机车启动制动产生的电流脉冲、随机性干扰脉冲以及其它电子设备产生的周期性窄带信号。

The following statement are the main results:Theorem 2.2.14 Let R be a reduced left morphic ring, then every left ideal of R is generated by a central idempotent. Hence every left ideal of R is also an ideal.

主要结果：定理2.2.14：设R是约化的左morphic环，则R的每一个左理想L都由中心幂等元生成，因而L也是理想。

Then we introduce the concept of(n,0)-projective dimension for modules and rings.It measures how far away a finitely generated module is from being n-presented,and how far away a ring is from being Noetherian.

然后，我们介绍环与模的(n，0)-投射维数，它可以衡量一个有限生成模与n-表现模的差距，以及衡量一个环与Noether环的差距。

We give a theorem for the stable range of endomorphism rings of finitely generated projective modules over a formal triangular matrix ring T when T is an exchange ring.

2.6节对有有限exchange性质的形式三角矩阵环T给出了有限生成投射T-模的自同态环有稳定度n的一个具体关系。

Generalized essential finitely generated -module is defined.

则M一定是有限生成的。7。定义了广义基本有限生成的TS1-模。

A criterion theorem of having no finite coverings for a finitely generated module M over a semisimple ring R is given.

对半单环上有限生成左模给出一个无有限覆盖的判定定理。

Its main goal is to explore information relating to the large-scale geometrical structure of proper metric spaces, including noncompact complete Riemannian manifolds, finitely generated groups, etc., so as to establish connections among geometry, topology and analysis of the geometric spaces, and furthermore, to solve other important problems such as the Novikov conjecture, the Baum-Connes conjucture, the Gromov-Lawson-Rosenberg conjecture on positive scalar curvature and so on.

其主要目标是通过几何空间（如非紧完备黎曼流形、有限生成群等）大尺度几何结构的信息，建立几何空间的几何、拓扑与分析之间的联系，并应用于解决其他重要问题，如Novikov猜测、Baum-Connes猜测， Gromov-Lawson-Rosenberg正标量曲率猜测等。

Its main goal is to explore information in the K-theory groups of the index C*-algebras, the Roe algebras C*, by using the large-scale geometrical structure of proper metric spaces, including noncompact complete Riemannian manifolds, finitely generated groups, etc., so as to establish connections among geometry, topology and analysis of the geometric spaces, and furthermore, to solve other relating problems, say, the Novikov conjecture, the Gromov-Lawson-Rosenberg conjecture on positive scalar curvature, the idempotent problem in the theory of C*-algebras.

粗几何上的指标理论是"非交换几何"领域九十年代以来发展起来的重要研究方向，它孕育于非紧流形上的指标理论，其主要目标是通过几何空间（如非紧完备黎曼流形、有限生成群等）的大尺度几何结构探索指标代数，即 Roe代数，的K-理论群的信息，从而建立几何空间的几何、拓扑与分析之间的联系，并应用于解决其他重要问题，如Novikov猜测、Gromov-Lawson-Rosenberg正标量曲率猜测、群C*-代数幂等元问题等。

Must have Coordination and negotiation skill, flexible ideas, and be punctilious person.

必须具备较好的协调与谈判能力，头脑灵活，工作认真仔细

Result: 18 patients are all with simple eye.The pigment mole lies in nasal and temple sides of the ball conjunctiva,in which 2 lie in lacrimal caruncle and semilunar plica.

结果：18例患者均为单眼，色素痣大多数位于内外侧睑裂部球结膜面，2例位于泪阜及半月皱襞，经激光治疗后，10例色素痣消失，有5例行再次激光后消失，2例行第三次激光后消失，1例第四次激光后消失。