浅谈强欧氏环

An Elementary Introduction to strong Euclidean Ring

本文引进了强欧氏环的定义,研究了强欧氏环的一些性质,并证明了强欧氏环必为欧氏环,反之不成立.

In this parer we introduce the definition of strong Euclidean ring and study some properties of its. We have claimed that strong Euclidean ring must be Euclidean ring and the converse of the conclusion may not be true.