【摘要】 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。更多还原

【Abstract】 The purpose of this paper is to investigate the so-called multiplicatively 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 multiplicatively 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.更多还原