高斯整环的商环的乘法半群结构

The Structure of Multiplicative Semigroups of Quotient Rings for Gauss' Interger Ring

利用格林关系得出了高斯整环商环的乘法半群结构是群半格,即clifford半群。

In this paper,the accthors investigate the structure for the multiplicative semigroups of a quotient ring over Gauss's integers domain. At the end of this argument,a conclution has been reached that it is a group semilattic in use of Green relation,ie, a Clifford semigroup.