On Prime Ideals Related to an Ideal in a Commutative Ring

Year 2021, Volume: 8 Issue: 4, 451 - 458, 30.12.2021

Ortaç Öneş

https://doi.org/10.54287/gujsa.1013194

Abstract

This article focuses on the notion of prime ideal related to an ideal of a commutative ring. Some of its characteristics are studied and the relations between ideals and prime ideals related to these ideals in a commutative ring are examined. Then some useful connections among them are obtained. Both similarities and differences between prime ideals related to an ideal and prime ideals are pointed out. Moreover a direct connection between prime ideals related to an ideal and radical ideals is obtained.

Keywords

Prime Ideal, Radical Ideal, Localization

Project Number

FBA-2019-4969

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