在教学中，经常遇到如何构造两个有限维线性空间的同构映射的问题。

We always meet problems that how to construct the isomorphic mapping of two finite dimension linear Spaces in teaching.

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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.

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然后根据扩张原理，在模糊集乘积同态、同构映射的条件下，研究模糊集乘积与模糊集乘积同态像之间的关系。

Then, based on the extension principle, the relations between fuzzy sets product and the homomorphic images of the fuzzy sets product are studied.

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