purely transcendental extension

When R#G is excellent extensions of rings RM,give left R-moduleRM is Gorenstein module if and only if Gorenstein module of left(R#G)-module R#GM,and obtain RM and R#GM with the same Gorenstein homological dimension.

当R#G是环R的优越扩张时,给出了左R-模RM是Gorenstein模当且仅当左(R#G)-模R#GM的Goren-stein模,并得出了RM和R#GM具有相同的Gorenstein同调维数。

Excellent Extensions of Rings and Gorenstein Homological Dimension on Smash Product

环的优越扩张和Smash积上的Gorenstein同调维数

Duality in ∏-coherent Rings and ∏-coherence of Strongly Almost Excellent Extensions;

∏-凝聚环中的对偶性和强几乎优越扩张的∏-凝聚性

Vietnam Commission for investigation of the Chinese expansionists and hegemonists crimes

越南调查中国扩张主义和霸权主义罪行委员会

Optimal Decision Making for Production Scale Expension;

商品生产规模扩张的最优化决策方法

EXPANDING WAY AND OPTIMIZING DISTRIBUTION OF THE NATIONAL DEFENSE ECONOMIC RESOURCES;

国防经济资源扩张的途径与优化配置

On the Limitation of the Expanding Demand Policy and its Optimization;

论扩张性需求政策的局限性及其优化

TransformationofQuantityEnlargementintoQuality ImprovementonSericulturalProduction;

蚕桑生产要从量的扩张转向质的优化

Optimization on Cross-over Strain Tower Structure in EHV Transmission Lines

特高压直流输电线路跨越耐张塔的结构优化

Areal Expansion Mode of Conglomerating Urbanlization in Littoral Areas and the Relevant Optimization Measures;

沿海地区集聚式城市化地域扩张模式及优化

Analysis of Competitive Advantage of Transport Network Expansion with Economics of Scope;

基于范围经济的运输网络扩张竞争优势分析

Strategy of Expanding Investment of a Cluster Advantages-based Enterprise;

基于产业集群优势的企业扩张投资战略

Optimization and experimental study of expansion liquid leaking excluder device for submersible pumps

潜水泵扩张式喷嘴排液装置的优化设计与试验

The rise in follow-on issuance reflects growing investor willingness to support expansion plans or to cash in higher-valued paper.

后续发行活动高涨，反映出投资者支持公司扩张计划或将估值较高股票套现的愿望越来越强。

Dark energy fills space and pushes everything apart, making the universe expand at a faster and faster rate.

“暗能量”充满了太空并且推动物质分开，这造成宇宙以越来越快的速度扩张。

According to Zhang, along with the continuous growth of the national economy, difficulties will be added to the reserve strength of economic development.

张军扩指出，随着增长水平的越来越高，后续增长的难度会比前时增长的难度大。

It is easy to manage a business in an expanding market, and easy to suppose that economic conditions can only grow better and better.

在扩张中的市场，管理企业不是难事，而且可以轻易假设，经济情况只会越来越好。

But their survival and development face more and more threats and challenges from the rapid overspread of big domestic and foreign retail corporations.

但在内外资大型零售企业快速扩张的背景下，其生存和发展受到的威胁与挑战越来越大。

Things were clearly getting tense.

事态显得越来越紧张了。