查询词典 finitely generated extension field

A group is '''finitely generated'''(respectively '''finitely related''','''finitely presented''') if it has a presentation that is finitely generated (respectively finitely related, a finite presentation).

群是'''有限生成'''的(分别为'''有限关联'''的，'''有限展现'''的)，如果它有有限生成的(分别为有限关联的，有限展示的)的展示。

In the numerous extension patterns, the government leading extension pattern is the strongest, quicker, and the extension area is larger, but the extension system should be further strengthened, and the policy supports should be given by the government. The extension pattern with the research institutes as the main body is strict and scientific, and is welcomed by the peasants, but the extension strength is weak. The extension pattern with the companies as the main body has the advantage in the extension area, and is a new pattern, but the service consciousness of the agricultural fertilization should be strengthened. The extension pattern with the supply and marketing cooperative as the main body has the advantage of retailing fertilizers, but the technical training to the vocational staff should be strengthened. In the extension pattern with the chain radiation as the main body, the activity of the peasants is higher.

研究表明，在众多的推广模式中，政府主导型推广模式的推广力度最大，推广速度较快，推广面积也较大，但是推广体系应进一步强化，政府应给予政策上支持；以科研单位为主体的推广模式严谨、科学，受到农民的欢迎，但推广力度小；以公司为主体的推广模式在推广面积上有一定优势，是一支新生力量，但应强化农化服务意识；以供销社为主体的推广模式具有分销肥料的优势，但应对该系统的业务人员加强技术培训；以连锁辐射为主体的推广模式中，农民积极性高；以科研+公司+推广+农户为主体的(来源：ABC论文5b网www.abclunwen.com)推广模式在推广面积、农民的积极性均有一定优势，它能把几大部门的利益集中在一起，取长补短，以共同促进平衡施肥的发展。

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。

Through the experiments of three kinds of models mentioned above, the structural deformations of "outflow-extension","strike-slip-extension" and "uplifting-extension" are studied and some viewpoints involving that the plastic flow in the lower lithosphere controls the extensional structures are stated as follows:(1) Regional extensional structure does not result from the direct extension along the upper crust, but from the plastic flow in the lower lithosphere and its dragging and stretching the upper crust;(2) Deformation of continental extensional structure resulted from the active uplifting of mantle is conditional that the significant extension occurs only in the models with free- or outflow-boundary condition on both sides, whereas the passive uplining of mantle exists widely, because it is an inevitable consequence of the efiect of thermo-gravity isostasy;(3) Strike-slip shearing in the lower ductile lithosphere, including site-restricted and site-unrestricted shearing, can result in various types of extension structures;(4) The"graben-horst"type extensional structures can be formed in difierent mechanisms, including outnow-extension, shear-extension, uplifting-extension and their synthetical action.

通过上述三种模型的模拟试验，比较系统地研究了"泄流-伸展"、"走滑-伸展"和"上隆-伸展"等构造变形，提出岩石圈下层塑性流动控制了各种伸展构造变形的观点，主要包括以下几方面：(1)区域性伸展构造不是上层直接受到拉伸，主要是下层流动牵引上层伸展；(2)地幔主动上隆引起大陆伸展构造变形是有条件的，需要侧边伸展或不受约束的边界条件，而被动上隆广泛存在于地壳断裂或减薄部位，是热和重力均衡的必然结果；(3)下层塑性流动中的走滑剪切，包括限位剪切或非限位剪切，可以引起不同型式的伸展构造；(4)总结了"堑-垒"型伸展构造的多种成因机制，包括泄流、走滑、上隆及综合作用均可形成"堑-垒"构造，但组合形式不尽相同。

A ring R is called right co-coherent if every finitely cogenerated factor module of a finitely cogenerated injective right R-module is finitely corelated.

如果有限余生成内射右R-模的有限余生成商模是有限余相关的，则R称为右余凝聚的。

In this paper,the nonstandard analysis theory is used for inducing a metric space by a Loeb measure space.On this basis,a metric space is induced by a internal finitely additive measure space.The close relationship between the metric space induced by a Loeb measure space and the metric space induced by a internal finitely additive measure space is illustrated with the concepts and some properties of Loeb measure.Then,some properties of the metric space that induced by a internal finitely additive measure space are studied.In the first two chapters,we first Succinctly present the origin,development and research states of the nonstandard analysis.Then,the theoretical foundation of nonstandard analysis as well as the axiomatic nonstandard analysis are given.Finally, the nonstandard model and the saturation model are discussed,as well as some natures of the nonstandard model and several equivalent conditions of saturation model are given.

本文利用非标准分析理论，在由Loeb测度空间导出度量空间的基础上，由内有限可加测度空间导出了度量空间，并借助Loeb测度的概念和若干性质证明了由标准的测度空间导出的度量空问和由内有限可加测度这个非标准的测度空间导出的度量空间有着密切的关系，在此关系的基础上还研究了由有限可加测度这个非标准的测度空间导出的度量空间的性质在第一、第二章里，我们首先简单介绍了非标准分析的产生、发展及研究现状，接着给出了非标准分析的理论基础以及公理化的非标准分析，进而讨论了非标准模型和饱和模型，并给出了非标准模型的一些性质和饱和模型的若干等价条件。

Not every subgroup of a D-group is also a D-group. If a subgroup is a D-group we call the subgroup "sub- D -group." The "commutator ideal" of G is the smallest sub-D-group containing its commutator subgroup. We found that the commutator ideal can be viewed as a finitely generated module over a ring when G is a finitely generated metabelian D-group.

并非每个子群都是一个可除群，若一个子群是可除群，我们称之为子可除群(sub-D-group)，而G 的交换子理想则是在G中包含其导出群的最小子可除群，我们发现当G是一个有限生成亚交换可除群时，其交换子理想是一个有限生成模。

According to the existence results of general equilibrium problems and vector equilibrium problems have been studied more and more. Inspired and motivated by these research results, this paper is devoted to study systematically a class of equilibrium problems, which is unify and extension of a large number of known equilibrium problems and variational inequalities problems. The research is carried on from three aspects.Firstly, in finitely continuous topological spaces, we introduce four new types of the system of generalized vector quasi-equilibrium problems, and we derive some existence results of a solution for the system of generalized vector quasi-equilibrium problems via the maximal element theorems in product finitely continuous topological spaces.Secondly, in complete metric spaces, we provide the Ekeland variational principle to equilibrium problems with set-valued maps. And via the Ekeland variational principle, existence results for vector equilibrium problem with set-valued maps and the system of vector equilibrium problem with set-valued maps.

针对一般的均衡问题和向量均衡问题解的存在性，已有许多研究成果，受这些成果的启发，本文主要从理论上较为系统地研究了一类均衡问题，它统一和推广了许多已有的均衡问题和变分不等式问题，研究分有三个方面；首先，在有限连续拓扑空间中，我们提出了四类广义向量拟均衡系，并借助于有限连续拓扑空间中的极大元定理讨论了这四类均衡系问题的解的存在性问题，然后，在完备度量空间中，我们给出了关于集值均衡问题的Ekeland变分原理，并利用Ekeland变分原理分别讨论了集值向量均衡问题和集值向量均衡系问题的解的存在性。

The main contributions of the second part of this dissertation are focused on the cryptographic properties of logical functions over finite field, with the help of the properties of trace functions, and that of p-polynomials, as well as the permutation theory over finite field: The new definition of Chrestenson linear spectrum is given and the relation between the new Chrestenson linear spectrum and the Chrestenson cyclic spectrum is presented, followed by the inverse formula of logical function over finite field; The distribution for linear structures of the logical functions over finite field is discussed and the complete construction of logical functions taking on all vectors as linear structures is suggested, which leads to the conception of the extended affine functions over finite field, whose cryptographic properties is similar to that of the affine functions over field GF (2) and prime field F〓; The relationship between the degeneration of logical functions and the linear structures, the degeneration of logical functions and the support of Chrestenson spectrum, as well as the relation between the nonlinearity and the linear structures are discussed; Using the relation of the logical functions over finite field and the vector logical functions over its prime field, we reveal the relationship between the perfect nonlinear functions over finite field and the vector generalized Bent functions over its prime field; The existence or not of the perfect nonlinear functions with any variables over any finite fields is offered, and some methods are proposed to construct the perfect nonlinear functions by using the balanced p-polynomials over finite field.

重新定义了有限域上逻辑函数的Chrestenson线性谱，考察了新定义的Chrestenson线性谱和原来的Chrestenson循环谱的关系，并利用一组对偶基给出了有限域上逻辑函数的反演公式；给出了有限域上随机变量联合分布的分解式，并利用随机变量联合分布的分解式对有限域上逻辑函数的密码性质进行了研究；给出了有限域上逻辑函数与相应素域上向量逻辑函数的关系，探讨了它们之间密码性质的联系，如平衡性，相关免疫性，扩散性，线性结构以及非线性度等；讨论了有限域上逻辑函数各类线性结构之间的关系，并给出了任意点都是线性结构的逻辑函数的全部构造，由此引出了有限域上的"泛仿射函数"的概念；考察了有限域上逻辑函数的退化性与线性结构的关系、退化性与Chrestenson谱支集的关系；给出了有限域逻辑函数非线性度的定义，利用有限域上逻辑函数的非线性度与相应素域上向量逻辑函数非线性度的关系，考察了有限域上逻辑函数的非线性度与线性结构的关系；利用有限域上逻辑函数与相应素域上向量逻辑函数的关系，揭示了有限域上的广义Bent函数与相应素域上的广义Bent函数的关系，以及有限域上的完全非线性函数与相应素域上向量广义Bent函数之间的关系；给出了任意有限域上任意n元完全非线性函数存在性与否的完整证明，并利用有限域上平衡的p-多项式的性质给出了有限域上完全非线性函数的一些基本构造方法。

The analysis of Chapter four indicates that although the internal structure and external relation system of agricultural technology extension organizations have changed a bit in the transitional period, the problem that scientific research and extension services are independent of each other in the existed agricultural science and education management system. It doesn't stir the reform of the existed administrative system and form the unique governance structure of grass-root agricultural extension agencies. Its status as the governmental subsidiary departments has seriously affected its extension role. The management system without clear definition of government departments and institutions is an obvious embodiment of institutional limitations of agricultural technology extension agencies at town level, especially the organizations characterized by module management.

第四章的分析表明，农技推广组织的内部结构和外部关系体制在转型期虽然进行了一些转变，但是，在现行的农业科教管理体制下，科研与推广服务相互独立的问题并没有解决，没有触动原有行政体制的改革最终形成了基层农技推广机构独特的治理结构，政府部门附庸的身份已经深刻影响其推广职能的发挥。

Connectors are lines that can be anchored to particular places, called glue points , on the graphic object.

连接符，可固定在图形对象的特定的地方的线条。

Another way of putting it, too many agents have a say in each other's work, and bureaucratic rigor mortis sets in.

另一种表达是，太多的作用物在彼此的工作里都有话语权，官僚的僵尸开始抬头。