Gauss整数环诸类问题探

On the Problems of Gaussian Integral Domain

本文主要探讨：（１） Ｇａｕｓｓ 整数环的定义及性质；（２） 其商环及性质；（３） Ｚ（ｘ）ｘ２＋ １同构于 Ｚ（ｉ）；（４）

This paper sets out to one problem from four aspects. (1)The definition and proterties of Gaussian integral domain; (2)Its ring of quotieuts and proterties; (3)On the isomorphism of Z(x)x 2+1 and Z(i) ; (4)two conjectuires.