Local ring
This article defines a property of commutative unital rings; a property that can be evaluated for a commutative unital ring
View all properties of commutative unital rings
VIEW RELATED: Commutative unital ring property implications | Commutative unital ring property non-implications |Commutative unital ring metaproperty satisfactions | Commutative unital ring metaproperty dissatisfactions | Commutative unital ring property satisfactions | Commutative unital ring property dissatisfactions
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)