Local ring: Difference between revisions

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{{commring property}}
==Definition for commutative rings==
==Definition for commutative rings==



Revision as of 15:49, 30 June 2007

This article defines a property of commutative rings

Definition for commutative rings

Symbol-free definition

A commutative unital ring is termed a local ring if it has a unique maximal ideal.

Definition with symbols

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Definition for noncommutative rings

Further information: Local ring (noncommutative rings)

Relation with other properties

Stronger properties

Weaker properties

Conjunction with other properties