針對和 Euclid-type rings 有關的特定問題,本計畫的目的是要學習這些問題及尋求可能的解答。計畫理會提到的 Euclid-type rings,ordered by chronology, 有 the Euclidean rings, the k-stage Euclidean rings, and the rings admitting a restricted Nagata's pairwise algorithm. ;In this project we will study several open problems which are related to Euclid-type rings. The Euclid-type rings, which we will mention here, and are ordered by chronology, are the Euclidean rings, the k-stage Euclidean rings, and the rings admitting a restricted Nagata's pairwise algorithm.