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.
给出了强p -同余对和强p -同余关系之间的结构定理。
A structure theorem between strong P-congruence pair and strong P-congruence 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.
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.
借助近似代数上的原子及同余关系，证明了在适当选取余运算之后，粗集代数就构成伪补MS代数。
Based on the atoms and congruence relations of approximation algebra, it is proved that rough set algebra becomes pseudo-complemented ms algebra if proper complement operators are selected.
给出了幂半群的概念，研究了幂半群的同态与同余关系，讨论了它们之间的关系，并得到了一些理想的结果。
It introduces the concept of power semigroup, studies the relations between homomorphism and congruence of power semigroup and obtains some perfect results.
本文在引入半环概念的基础上，介绍半环同态、同余关系、单同余半环等概念，讨论两个同态半环之间单同余性质的关系。
This paper introduces the concept of semirings, homomorphism of semirings and congruence simple semirings, discusses the relation between two semirings.
利用BCI -代数的固有理想这一概念，在BCI -代数中定义了一个同余关系，从而得到这个BCI -代数的固有商代数。
In a BCI-algebra, a congruence relation is defined by using its intrinsic ideal, thus the intrinsic quotient algebra of the BCI -algebra is obtained.
首先在正规子群与同余的关系的基础上，采用类比的方法，从同余的角度给出了群的正规列幂半群的另一种刻画。
In this paper, based on the relation between normal subgroup and congruence, another depiction of normal series power semigroup is given from the angles of congruence by the method of analogy.
首先在正规子群与同余的关系的基础上，采用类比的方法，从同余的角度给出了群的正规列幂半群的另一种刻画。
In this paper, based on the relation between normal subgroup and congruence, another depiction of normal series power semigroup is given from the angles of congruence by the method of analogy.
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