查询词典 injective mapping

Finally, it investigate QF-ring with right gpm-injective, and obtain the following theorem:Theorem The following statements are equivalent:(1) R is quasi-Frobeniusean ring:(2) R is right noetherian, left pm-injective ring, right pm-injective ring;(3) R is right noetherian, left pm-injective ring, right GP-injective ring;(4) R is right noetherian, left gpm-injective ring, right gpm-injective ring;(5) R is right noetherian, right gpm-injective ring and each right minimal ideal is right annihilator.

最后用右gpm-内射对QF环进行研究，得到了如下定理：定理下列条件等价：(1) R是quasi-Frobeniusean环；(2) R是右Noether，左pm-内射环，右pm-内射环：(3) R是右Noether，左pm-内射环，右GP-内射环；(4) R是右Noether，左gpm-内射环，右gpm-内射环；(5) R是右Noether，右gpm-内射环且每个极小右理想是右零化子。

In this paper, we study syzygies of injective resolvent s and cosyzygies of injective resolutions, and probe the relationship of injective resolvent s and injective resolutions, and then prove that if R is a Noetherian ring with id≤n, then every left R-module has injective dimension at most n or ∞.

研究了内射预解式的合冲模与内射分解式的上合冲模，并探讨了内射预解式与内射分解式之间的联系，证明了如果环R是Noether环且id≤n，则每个左R-模的内射维数小于等于n或者为∞。

At noon, the State Bureau of Surveying and Mapping party secretary TSUI Tak Ming and other Board members and the entire team of Chen Junyong Academy of Sciences Chinese Academy of Sciences, and the State Bureau of Surveying and Mapping agencies all cadres of workers and pre-entry into the Chinese National Innovation Base Surveying and Mapping Surveying and Mapping Bureau of Management Information Center, National Mapping Agency map Technical Review Center, the State Bureau of Surveying and Mapping Development Research Center of Surveying and Mapping, the National Bureau of Surveying and Mapping headquarters service center, as well as the base for all the cadres and workers in new construction units on behalf of Surveying and Mapping innovation base in China to celebrate the completion of China's innovation base mapping stationed celebrate the 60 anniversary of New China , to celebrate the Mid-Autumn Festival.

中午，国家测绘局党组书记、局长徐德明等局班子全体成员及中科院陈俊勇院士，与国家测绘局机关全体干部职工和先期进驻中国测绘创新基地的国家测绘局管理信息中心、国家测绘局地图技术审查中心、国家测绘局测绘发展研究中心、国家测绘局机关服务中心全体干部职工以及基地建设单位代表在新落成的中国测绘创新基地内，欢庆中国测绘创新基地落成进驻，喜迎新中国60华诞，共庆中秋佳节。

Next, we discuss the relations between left quasi-dual bimodules and left dual-bimodules, we obtain that a left quasi-dual bimodule is a left dual bimodule if it satisfies one of the following conditions: sM is minimal injective and MR is a M-minimal injective kasch-module; MR is a M-minimal injective kasch-module and for any two ideals LI and L2 ofSS rM(L1 n L2)-rw(L1)+rM(I2); sM is minimal injective and for any two submodules A and B of MR,Lastly, we applicate the quasi-duality on smash product algebra R#H, and obtain an answer of the semiprime problem, i.e., let H be a finite-dimensional semisimple Hopf algebra and R be an H-module algebra, if R is left quasi-dual and semiprime, then R#H is semiprime.

我们得到：一个左拟对偶双边模如果满足下列条件之一，则它将成为一个左对偶双边模：_sM是单内射的并且M_R是一个M-单内射kasch-模；M_R是一个M-单内射kasch-模并且对_sS的任意两个理想，有r_M(L_1∩L_2)=r_M(L_1)+r_M(L_2)；_sM是单内射的且对M_R的任意两个子模，有l_s=l_s+l_s。2 在第2.3节中我们将拟对偶性应用于smash积代数R#H，部分解决了半素问题。

The injective rings play an important role in the study of rings and categories of modules . First , we introduce the notion of ann-injective rings and CT-injective modules .Second,we make an inquiry into a series of their properties.Third,we give the definition of homological dimension of CT-injective modules.At last,we give the definition of FGT rings which is the extension of cogenerator rings.

本文对环与模范畴中一重要的模类—内射模进行了延拓，引入了ann -自内射环以及CT -内射模的概念，探讨了它们一系列的性质，并定义了CT -内射模的同调维数，最后对余生成子环进行推广得到了FGT -环，讨论了它与CT -内射环的关系以及它的一些性质。

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。

Theorem 2.1.4 The following statements are equivalent for a ring R:(1) R is left co-semihereditary;(2) every finitely cogenerated factor module of a finitely cogenerated injective R-module is quasi-injective;(3) every finitely cogenerated factor module of a finitely cogenerated injective R-module is direct-injective.

an环 R下列叙述等价： l）R的每个商环是强左余半遗传的； 2）R的每个商环是左余半遗传的； 3）拟内射R模的每个有限余生成商模是拟内射的； 4）有限余生成拟内射R－模的每个有限余生成商是直内射的； 5）有限余生成fi－(来源：A3fBC论文网www.abclunwen.com)拟内射R－模的有限余生成商模是拟内射的。

the digitized mapping technique is to combine the field data collection system with the computer assisted mapping system in surveys by computer technology.it aims to realize the information collected and processed digitally and automaticaity.the digitized mapping technique can cut short the working time,lighten the labor intensity and enhance the precision of the productions.the system consists of three parts,such as data input,data processing and data output.the survey-record digitized mapping technique is widely used in the digitized mapping working pattern.for its superiority over traditional plane-table mapping in accuracy and efficiency,the large scale digital mapping is becoming more and more popular.compared with traditional analogue mapping,digital mapping has more quality control pivotai points,and its contents and methods are more complex.with the appearance of new technology gps ,the coordinate of different levels controlling points may be surveyed in high precision and it has been applied widely in topographic survey.the operation process of gps electronic tachometer is introduced and its application in topographic survey is br

计算机应用论文，计算机论文， rtk ，全站仪，数字测图，地形测量， gps论文摘要：数字测图是在测量工作中利用电子计算机技术将野外数据采集系统与内业机助制图系统相结合，其目标是实现信息采集处理的数字化、自动化、信息化。数字测图可以缩短作业时间，减轻劳动强度，提高成果精度。数字测图系统主要由数据输入、数据处理和数据输出3部分组成，数字测图作业模式中测记式数字测图应用最为广泛。大比例尺数字测图正以其测图精度高，成图速度快等优势逐步的取代传统的，以平板仪为主的模拟测图。与传统的模拟测图相比，数字测图的质量控制关键点更多、内容与方法更为复杂。gps 新技术的出现，可以高精度并快速地测定各级控制点的坐标，在地形测量中已得到广泛地应用。本文介绍了gps 配合全站仪的作业流程，简要阐明了其在地形测量中的应用。在利用实测数据成图的过程中，解决一些常见的问题，并给出解决的办法及依据，同时给出一些有益的结论，以适应实际使用的需要。

In 2010, Hebei Province Survey and Mapping Bureau of the overall work requirements are: to further strengthen the surveying and mapping work, and continue to carry out special rectification geographic information market, establish and improve long-term mechanism; the completion of "Eleventh Five-Year" plan provincial base mapping to achieve the basic topography of 1:1 million, map covering the whole province; do a good job,"Homeland environment and disaster monitoring State Key Laboratory of Surveying and Mapping Agency," the construction and development, promoting surveying and mapping scientific and technological progress; raise the "Integrated Service in Hebei satellite positioning system," the promotion and application; the preparation of good levels " Shier Wu "basic surveying and mapping plan, focus on promoting the" digital Hebei "," Digital City "geo-spatial framework of the building, do a good job in Shijiazhuang" National Digital City Construction pilot "demonstration project construction, improve the level of public services, surveying and mapping for economic development to provide timely Effective mapping support.

2010年，河北省测绘局总体工作要求是：进一步加强测绘工作，继续开展地理信息市场专项整治，建立健全长效机制；完成"十一五"省级基础测绘规划，实现1：1万基本地形图全省覆盖；抓好"国土环境与灾害监测国家测绘局重点实验室"的建设与发展，推进测绘科技进步；加大"河北省卫星定位综合服务系统"的推广应用；编制好各级"十二五"基础测绘规划，着力推进"数字河北"、"数字城市"地理空间框架建设，抓好石家庄"全国数字城市建设试点"的示范工程建设，提高测绘公共服务水平，为经济发展提供及时有效的测绘保障。

Over the past few years, we have adhered to the margins pilot, while summing up the experience in the dark improve, and we invite the four mapping units, according to the "phased implementation of the subregional mapping and cadastral mapping project, a map, several related databases" for the pilot, and gradually establish and perfect the mapping system : First, develop Fuzhou mapping management, Fuzhou administrative districts in operational and management activities in the real estate mapping units and individuals, thus greatly enhancing the management of our real estate mapping, mapping for the development of the cause.

为加强房地产产权产籍管理走出了一条新路。我市房产测绘体制改革是伴随着社会主义市场经济的建立和发展逐步铺开的。80年代中期，我市房屋产权登记开始恢复时，尚未建立专业的测绘队伍，在房屋产权确认中作为重要依据的图、档以及房屋面积都是由产权登记人员用皮尺到现场手工丈量确定。1985年房屋普查结束后，原普查人员组建成市测绘处，负责全市房产测绘工作，人员经简单培训后上岗，测量停留在手工皮尺操作上，技术没有规范，人员缺乏专业知识。

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。