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Prime ideal


 

In mathematics, a prime ideal is a subset of a ring which shares many important properties of a prime number in the ring of integers. Prime ideals have a simpler description for commutative rings, so we consider this case separately below. This article only covers ideals of ring theory. Prime ideals in order theory are treated in the article on ideals in order theory.

Related Topics:
Mathematics - Subset - Ring - Prime number - Integer - Commutative ring - Order theory - Ideals in order theory

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~ Table of Content ~

Introduction
Prime ideals for commutative rings
Prime ideals for noncommutative rings

 

 

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