查询词典 congruences

It is proved that a semiring is complemented if and only if it is a direct product of some Boolean algebra and Boolean ring by studying the relations of congruences on the complemented semiring, so the complemented semiring is the commutative semiring.

s-内射模。通过研究可补半环S的性质及S上的同余关系，证明出可补半环与布尔环和布尔代数的直积是等价的，因而可补半环是交换半环。

This course, which discusses elementary of computational number theory, includes the following subjects:(1) Fundamental properties of Integers;(2) Congruences;(3) Congruent equations;(4) Legendre and Jacobi symbols;(5) Primitive roots;(6) Primality testing and factorization;(7) Index computation and discrete logarithm computation;(8) Other computational problems.

本课程将讨论计算数论的基本知识，主要包括以下内容：(1)整数基本性质；(2)同余；(3)同余式；(4) Legendre和Jacobi符号；(5)原根；(6)素性测试和大数分解；(7)指数计算和离散对数计算；(8)其他计算问题。

By using congruences on a Clifford semigroup, we get that, in general, the operator is not a ∩-homomorphism.

利用Clifford半群上的同余刻画，得到了该运算不是一个∩-同态。

We can try and solve congruences modulo pn for higher and higher value of n.

我们可以对越来越大的n去试解mod pn的同余式。

In chapter 1, congruences on semigroups are always main subjects of semigroup theory.

第一章，半群上的同余一直是半群理论的研究主题。

As an application of the theory of regular congruences,insection 3 of this chapter,we obtained a solution of an open questionpresented by N.

作为正则同余理论的应用，我们在第一章第三节解决了N.Kehayopulu在1990年提出的一个公开问题。

It must be faced in the course of studying good congruences whether joins of good congruences are good. We give a negative answer to this problem.

在研究好同余的过程中下面的问题是我们必须面对的：好同余的并是否仍然是好同余？

The congruences on orthorings are studied. Results concerning congruences and congruence-pairs on orthorings are obtained.

对纯整环并半环上的同余进行了研究，得到了纯整环并半环上关于同余和同余对的一些结果。

In chapter Ⅰ,the definitions of regular congruence andstrongly regular congruence are introduced,some charaterizations ofregular congruences and strongly regular congruences are obtained.

详细摘要在这篇博士学位论文中，我们系统地讨论和建立了偏序半群的正则同余理论。

At the beginning the representatives of elementary rectangular band of E-unitary in-verse semigroups is studied, with the congruences on lattices and on completely simplesemigroups the congruences and congruence lattices on elementary rectangular band ofE-unitary inverse semigroups are described.

首先研究了E-酉逆半群基本矩形带的结构表示形式，用半格上的同余和完全单半群上的同余刻画了E-酉逆半群基本矩形带的上的同余和同余格。

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。