关于广义商环和它的实性

On the Generalized Quotient Rings and Their Reality

出了乘法正向理想族的概念 ,研究了广义商环QJ(R)的结构和性质。它分二部分 ,第一部分考察了广义商环QJ(R)的结构和一般性质 ,第二部分研究了广义商环QJ(R)的实性 ,得出了QJ(R)成为实环的几个条件。

The purpose of this paper is to investigate the so - called mulfiplicafively directed families of ideals and their generalized quotient rings.This paper is divided into two sections. In the first section,We give the structure of the generalized quotient ring for a mulfiplicatively directed family of ideals, and obtain some basic property of the quotient ring. In section 2, We establish some conditions for a generalized quotient ring to be real.