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Every maximal ideal of every commutative ring with identity is a prime ideal.

带有单位元的交换环的任何极大理想是素理想。

Soc _RR is a injective left R-module.(4) Soc _RR is a left self-injective ring.|Theorem 4.2.9 Let R be a commutative notherian ring, then the following are equivalent:(1) R is a FS-ring.(2) R is a PS-ring.(3) Every minimal ideal of R is injective.(4) Every minimal ideal of R is p-injective.

定理4.2.9若R是交换的Noethe(来源：Aae0eBe0C论文网www.abclunwen.com)r环，则以下条件等价：R是FS-环；R是PS-环；R的每个极小理想都是内射的；R的每个极小理想都是p-内射的；R是IS-环；R的每个极小理想都是投射的；R的每个极小理想都是平坦的。

Established reliability solution calculation model of composite foundation improved by Dry Jet Mixing, looked for main failure mode of system, and analyzied correlation among every failure mode, calculated correlation coefficient among every failure mode, applied narrow bound method to calculate general failure probability of composite foundation improved by Dry Jet Mixing.

2建立粉喷桩复合地基系统可靠度求解的计算模型，找出系统的主要失效模式，并分析各个失效模式之间的相关性，求解各个失效模式之间的相关系数，并运用窄界限范围法求解粉喷桩复合地基系统的总失效概率。

Every computer user should be given every opportunity to use software, even if they work under a disability.

每位用户应该能够获得一切可能的机会来使用软件，即便是在有障碍的情况下。

The same resolution points out, Every comrade may have shortcomings or make mistakes, and every comrade needs other people's help; the purpose of Party unity is precisely to develop this kind of comradely mutual help.

七届四中全会决议指出：每个同志都可能有缺点或错误，每个同志都需要别人帮助，而党的团结正是为了发展这种同志式的互相帮助。

"Every victory is really important for us as it gives us confidence and we approach every game we play with the idea of winning," he said.

"每场胜利对我们都很重要因为胜利会给我们信心，我们会用必胜的心态对对待每一场比赛的，"他说。

Every connected, compact Lie groups G contains a maximal torus T. This maximal torus is unique up to conjugation, and every element of G is conjugate to the element of the maximal torus.

每个连通紧李群具有极大环面子群，任二极大环面子群彼此共轭，且连通紧李群中每个元素共轭于极大环面的一个元素。

Every detail of the restaurant represents the restaurant's respect to clients, and every service embodies the restaurant's considerateness to clients.

餐厅的每个细节，体现了商家对客户的尊敬，每一项服务体现了商家对客人的体贴。

Constance: And with this tracking device, I will know where you are every minute of every day.

用这个追踪器，我就能掌握你每时每刻的行踪。

Extensive context-sensitive online help keeps you well-informed on how to use every feature of every window.

广泛上下文敏感联机帮助保持你见多识广在如何使用每扇窗口的每种特征上。

These rules reflect some inherent feature of self and nonself, and they are the basic detection criterion of GECISM.

这些规则反映了"自我"和"非我"的内在特征，是GECISM进行"非我"检测的判据。

Until today, the media from China and the outside world still uses the term "Post 89". Regardless to whether it is for commercial gimmick or convenience, everybody still remember "Post 89", a term which carries a strong Cantonese accent.

时至今日，国内外艺术媒体还是在沿用&后八九&这个称谓，不管当初是为了商业噱头还是容易上口好记，反正大家现在是记住了&后八九&这个广东口音很重的词。