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1·By means of central kernel, we give the smallest and largest congruence relation about middle idea.

每个中理想都是某个满同态的中心核；

2·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.

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。

3·This paper introduces the concept of semirings, homomorphism of semirings and congruence simple semirings, discusses the relation between two semirings.

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。

4·Another way to consider differences among education, marketing, and law is in relation to the congruence of pre-existing self-interests held by the target and the manager.

研究教育行为、营销行为和法律行为区别的另一种途径同行为者及其目标原先存在的自身利益是否一致有关。

5·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。

6·Objective: to explore the mediating effect of differentiation of self on the relation of family function to self consistence and congruence.

目的：研究自我分化在家庭功能与自我和谐关系中的中介作用。