local ring
A 'local ring' has distinct meanings in algebra and networking, with its algebraic form being central to studies in commutative algebra and algebraic geometry.
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Definition
C1Algebra
(technical, academic)A commutative ring with a single maximal ideal.
Example
- In algebraic geometry, local rings help describe the local properties of algebraic varieties.
- A field is a simple example of a local ring.
C1Networking
(technical)A segment of a token ring network that does not route data.
Example
- The local ring in the network ensures data is confined to a specific segment.
Similar
Terms that have similar or relatively close meanings to "local ring":
prime ringring inring offiron ringprincipal ideal ringring gamering timehold the ringsnap ringinner circle