查询词典 congruences

The objectives of this thesis are the congruences on locally inverse semigroups, locallyL-unipotent semigroups and the structures of locally orthodox semigroups.

中文摘要：本文的研究对象是局部逆半群、局部L-幂单半群上的同余和局部纯正半群的结构。

We investigate this kind of numbers in Chapter 4 and give the following results:(1) By generating functions theory, we have established a number of identities involving the powers of generalized Fibonacci and Lucas numbers. From these identities, we can obtain some new congruences.

第四章：利用发生函数理论以及一些运算技巧，讨论与广义Fi-bonacci，Lucas数有关的问题：(1)利用发生函数原理，建立了一系列涉及广义Fibonacci，Lucas数的幂的恒等式，并由这些恒等式得到了新的同余关系。

Two complete congruences on the congruence lattices of regular semigroups with Q-inverse transversal s are analysed.

研究了具有Q-逆断面的正则半群上的同余格Con上的等价关系W和Q，它们都是Con上的完全同余，这些完全同余的每一个类是区间，给出了每一个类的极大、极小同余的表示。

Special congruences are introduced in partialAbelian semigroups and it is shown that under some condition the quotient in-duced by a special congruence is also a partial Abelian semigroup.

我们引入了其上的特殊同余，在一定条件下，证明了该同余类所诱导之商仍是部分Abelian半群。

Since there is a close connection between principal filters and the smallest complete semi-lattice congruences on a po-semigroups, the study of the structure of filters has attracted a number of authors. For example, Kehayopulu, Xie X.Y, Cao Y.

在偏序半群中，由于主滤子同最小完全半格同余乃至完全半格同余有着密切的联系，又主滤子在偏序半群结构的研究中起到至关重要的作用，因而对滤子结构的研究吸引了众多学者的关注。

We discuss some U-classes and V-classes which consist of special congruences respectively,and describe the corresponding special E-solid semigroups.

含有某些特殊同余的U—类和V—类被分别清晰地描述；进而E—硬正则半群类及其一些特殊的子类被分层次地刻划。

This paper analyses and systematically studies the structure of some special quantales (such as characterization of idempotent left-side spatial quantales, characterization of simple quantales); relations among elements of quantale; inner links between prequantales and quantales; relations among nuclei and quotiont quantales and congruences of quantale; relations between closed filters and closed maps; categorical properties of category Quant.

本文对Quantale的元素之间、核映射与商Quantale以及同余关系之间的关系，特殊Quantale的结构（如幂等左侧空间式Quantale的特征，单纯Quantale的特征等），Prequantale和Quantale之间的内在联系，Quantale中的闭滤子和闭映射以及Quantale范畴Quant的性质等作了较为系统的研究。

This paper analyses and systematically studies the structure of some special quantales (such as characterization of idempotent left- side spatial quantales, characterization of simple quantales); relations among elements of quantale; inner links between prequantales and quantales; relations among nuclei and quotient quantales and congruences of quantale jrelations between closed filters and closed maps ;categorical properties of category Quant.

本文对Quantale的元素之间、核映射与商Quantale以及同余关系之间的关系，特殊Quantale的结构(如幂等左侧空间式Quantale的特征，单纯Quantale的特征等)，Prequantale和Quantale之间的内在联系，Quantale中的闭滤子和闭映射以及Quantale范畴Quant的性质等作了较为系统的研究。

Secondly, in a more generalized framestructrue--lattice-ordered monoids,the notion of lattice-valued Mealy-type automata is introduced,we traverse some algebraic properties of this automata and investigate the congruences and homomorphisms of this type automata.Our main results indicate that the algebraic properties of lattice-valued Mealy-type automata have Close links to the algebraic properties of lattice-ordered monoids which automata take values in.Futhermore we study the minimization of lattice-valued Mealy-type automata and provide an algorithm to achieve the minimal lattice-valued Mealy-type automata within finite steps.

其次，在更一般的框架—格半群意义下，提出具有输入和输出字符的自动机——格值Mealy自动机的概念，从代数角度出发较详细地研究了此类自动机具有的性质，同时研究了此类自动机的同余和同态，揭示了此类自动机的代数性质和格半群的紧密联系，最终研究了格值Mealy自动机的极小化问题，并给出了在有限步可实现此极小化的算法。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。