丢番图方程；正整数解；同余；递归序列。
Diophantine equation; Positive integer solution; congruence; Recurrent sequence.
研究了一类广义正则半环S上的半环同余。
The semiring congruence on a class of generalized regular semiring S was studied.
给出了一类同余方程组解数的公式或渐近公式。
This paper has investigated the system of congruences and given them the asymptotic formula of the number of solutions.
证明了一个半群上所有模糊同余关系作成一个格。
We show that all fuzzy congruence relations on a semigroup is a lattice.
丢番图方程；素数；整数解；勒让德符号；同余。
Diophantine equation; prime; integer solution; Legendre symbol; congruence.
利用群核正规系讨论了纯正群的幂等元分离同余。
Then we study the idempotent-separating congruences on the orthogroups with group kernel normal systems and give it a simple rep.
给出了三种代数类具有可定义主同余性质的证明。
This article mainly gives three kinds of algebra classes which have the property of definable principal congruence and their verifications.
在此基础上，给出了适当半群上模糊好同余的性质。
On this base, some properties of fuzzy good congruences on adequate semigroups are given.
描述了基于该线性同余随机序列的图像加解密算法。
The algorithm for encrypting images through sequences from linear congruence generator was described.
正则半群上的同余是由其幂等元同余类所完全决定的。
The congruences on a regular semigroup is completely determined by its idempotent congruence classes.
刻画了弱逆半群s上的最大幂等元分离同余和最小群同余。
In this paper, the greatest idempotent separating congruence and the minimum group congruence on a weakly inverse semigroup s are characterized.
利用弱逆和核迹方法，刻画了毕竟纯整半群上的矩形群同余。
The rectangular group congruences on eventually orthodox semigroup were characterized by means of weak inverse and kernel-trace approach.
在第二章，我们主要研究了适当半群的完备矩形带上的良同余。
In Chapter 2, we will study good congruences on perfect rectangular bands of adequate semigroups.
特别是确定了交换的可消幺半群的半格的好同余格上的交与并运算。
Furthermore, the meet and the join for the good congruence lattice are determined for the semilattice of commutative cancellative monoids.
利用半代数的同余来讨论半代数的同态定理及其第一，第二同构定理。
Then, with congruence of the semialgebra, we proved the homomorphic theorem of semialgebra and its first and second isomorphic theorems.
拟正则半群上的两个完全正则同余相等当且仅当它们的核正规系相同。
Completely regular congruence on an eventually regular semigroup is uniquely determined by its kernel normal system.
文章研究了线性同余序列参数的生成方法，并给出了具体的求乘数算法。
In this paper we study the way of generating parameters of linear congruential sequence.
一般可以用中国剩余定理或者递推算法等方法给出一次同余方程组的解法。
The solution of system of linear congruence equations can be provided by the Chinese remainder theorem or recursive process.
将基于混沌的随机数产生算法和线性同余发生器进行组合，产生随机数列。
In this paper, a combined number generator based on the chaotic mechanics and linear congruence generator is proposed.
本文研究了逆同余产生伪随机数的方法，给出了一般的组合逆同余法算法。
By using inversive congruential method, this paper researches the algorithm to generate pseudo-random Numbers and the general principle for compound inversive congruential method.
这种新算法是在现有的乘同余法和混合同余法等常用算法的基础上改进而来。
The new algorithm is obtained by improving the multiplicative congruential and the mixed congruential methods which are in common use now.
利用解析方法研究了一个新的同余方程组的解数性质，并给出了一个均值公式。
Using analytic methods the properties of a new congruence equation are studied and a mean value formula is given.
最后，给出模糊理想的积和模糊同余关系的积的概念，讨论了它们的一些性质。
Finally, we give the concepts of the product of fuzzy ideals and the product of fuzzy congruence relations. Some properties of them are discussed.
在一元泛代数上引入了双同余关系，从而使双同态映射与双同构映射得到了沟通。
In this paper we have given the concept of double-congruence, by which the concepts of double-homomorphism and double-isomorphism in a unary algebra are linked together.
刻划了S-正则半群上的极大幂等元分离同余并给每个S-正则半群一个基本表示。
The maximum idempotent - separating congruence on a S - semigroup is characterized and a fundamental representation of a such semigroup is given.
设s是有向序半群，本文给出了S上的一类正则同余，称为强序同余的定义及性质。
In this paper, the notation of a strongly ordered congruence on an ordered semigroup s is introduced.
本文提出伪补MS-代数（简称PMS-代数）中正则理想，正则同余关系等概念。
In this paper, we introduce notions of regular ideals of a pseudocomplemented MS-algebra (PMS-algebra, for short) and study their elementary properies.
同余理论是初等数论的核心内容之一，蕴含着大量的数论所特有的思想、概念和方法。
The congruent theory is one of the core contents of number theory, containing a great deal of special thought, concept and method.
第三，阐述产生均匀分布随机序列的两种方法：平方取中法和线性同余法的基本原理。
Third, two algorithms for producing uniform distribution are analysed thoroughly by us—mid-square method and linear congruential method.
第三，阐述产生均匀分布随机序列的两种方法：平方取中法和线性同余法的基本原理。
Third, two algorithms for producing uniform distribution are analysed thoroughly by us—mid-square method and linear congruential method.
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