子模

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。

By exciting an even parity quadrupole mode (the m=0 low-lying mode), it is found that there is a transfer of energy to a mode at twice the original frequency (the m=0 high-lying mode).

通过激发一个低能态偶宇称的四极子模，发现在该模和频率为该模两倍的高位模之间存在能量转移。

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。

If N is a nonempty subset of a left R module M, then N is a submodule of M if and only if the following conditions hold:(1) x+y is in N for any element x,y in N;(2) rx is in N for any r in the ring R, and any x in N.

假设 N 是左模的非空子集合，那么N 是子模的充分必要条件是，对N 中的任何两个元素x，y有

Before version of the process flow is: that the original steel plate, that is, the original mould, Yin, maintop pattern concave, hardened-overvoltage round steel shaft, that is, cavity, positive and maintop pattern convexes-round steel shaft had hardened-Nano-imprint lithography version submodules, Yin, maintop pattern concave-skinpass printing layouts — chromeplate — students'computer proofing-business card printing and membership card.

功版的工艺功程是：邮票原钢版，即原模，晴图、版纹凹形，不退火强硬——功不抬圆钢轴，即母模，阳图、版纹凸形——圆钢轴不退火强硬——功不抬印版，即子模，晴图、版纹凹形——裂缝版面——印版镀铬——上机打样——制卡和会员卡制作。

The process flow is: that the original steel plate, that is, the original mould, Yin, maintop pattern concave, pressed plastic version —— welding by stamp layout: skinpass page make up layouts guniting silver, copperizing-nickel-coated, cavity (for positive and maintop pattern convexes)—— a printing plate nickel plating shall be guilty of submodules, concave maintop pattern--a printing plate chromeplating treasure…every two pieces by mechanical bent of the semisircle package 5.1 core-students'computer proofing-business card printing and membership card.

其工艺功程是：邮票原钢版，即原模，晴图、版纹凹形，冲不抬塑料版——按邮票版式割切拆版——裂缝版面——喷银、镀铜——镀镍(为母模，阳图、版纹凸形)——镀镍为印版，即子模，版纹凹形——印版镀铬——把两块印版用板滞弯不败半圆形包在滚筒芯上——上机打样——制卡和会员卡制作。

In this paper, we study the prime submodule s systematically by using thew-operation and utilizing the module theory method.

本文主要通过w-算子的技巧，运用模理论的方法，对素子模进行了系统的研究。

Every submodule of a free module is a free module.

自由模的任何子模还是自由模。

The w-radicals of cyclic submodules of finitely generated free modules over unique factorization domains are discussed.

C中有限生成子群的一条离散准则。11。讨论了唯一分解整环中有限生成自由模的循环子模的w-根。

In this thesis, the pressure effect on the electron-phonon interaction and the self-trapping energies of polarons in polar semiconductor quantum wells with finite barriers are discussed by considering the influence of three branches of optical phonon modes.

本文计入极性半导体量子阱中三支光学声子模的作用，讨论了有限深量子阱中电子—声子相互作用和极化子自陷能的压力效应。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。