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.

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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.

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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.

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