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2004•Unpublished venueRequires access

On the Generalized Quotient Rings and Their Reality

AI Xiao-wei

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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.

About this research paper

What this paper is about

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.

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Available 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.

Key concepts: Quotient, Quotient ring, Mathematics, Ring (chemistry), Pure mathematics, Property (philosophy), Section (typography), Equivalence class (music)

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