查询词典 projective module

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。

Due to the inspiration of maximal injective module by professor Wang Ming-yi, in chapter two, we introduce the conception of max-projective modules, discuss its properties, applications: the primitive relations between rings and endomorphism rings, an equivalence that is surrounding strongly V.N. rings.

受汪明义教授引进极大内射模概念的启发，在第二章中我们引进了极大投射模的概念，由此讨论了它的一些性质及其应用：环与自同态环之间的本原性关系；强正则环的一个等价刻划；并在环为交换和非交换的情形下分别应用有限表现模的极大投射性得出了SF环和Von Neumann正则环的关系。

Furthermore, it is shown that every pure projective left R-module is closed under pure submodule if and only if every pure injective left R-module is closed under pure epimorphic image.

最后，作为应用，证明了每一纯投射左R-模在纯子模下封闭当且仅当每一纯内射左R-模在纯满像下封闭。

It is proved that a left R-module P is pure projective if and only if for any pure epimorphism E→M→0, where E is pure injective, Hom→Hom→0 is exact.

证明了左R-模P是纯投射的当且仅当对任意纯满射E→M→0，其中E是纯内射的，Hom→Hom→0是正合的。

Every module is a submodule an injective module and a homomorphic image of a projective module.

任何模都是内射模的子模，也是投射模的同态像。

Then we discuss comodule algebra on the Hopf algebroid. If L is finite generated as a left R-projective module, left L-comodule category is equivalent to the left L〓-module category.

然后讨论Hopf代数胚的余模代数，如果L是有限生成的左R-投射模，那么左L-余模范畴与左L〓-模范畴是等价的。

By this equality,we prove that the amplitude of a compact DG module M over a cohomologically bounded DG algebra A is just the sum of the amplitude of A and the projective dimension of M.

对于一个同调有界的连通DG代数上的紧的DG模，我们由此等式可得其振幅与DO代数的振幅的差恰是它的投射维数。

We next establish certain conditions which arc necessary and sufficient for a projective module over a cellular algebra to be injective.

给出了胞腔代数是标准分层代数的一个充分条件，利用这个条件我们介绍了一种归纳构造标准分层的胞腔代数的方法； 5。

A low frequency rolling bearing fault diagnosis method based on local projective noise reduction;2. According to characteristics of both the vibration signals and the stator currents when appering a fault in the rolling bearing of the induction motor,Park vector module signal of the three-phase current is calculated,and the envelope of vibration signals from the rolling bearing of the motor is analyzed.

根据感应电机轴承发生故障时的振动信号特性以及定子电流特性，求出三相电流的Park矢量模信号，并将其与电机滚动轴承振动信号经解调处理后的包络信号进行融合分析，可以从振动信号与电流信号的融合谱图中有效地提取轴承故障特征信息，并将其作为故障识别的依据。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。