Word.ws English Dictionary

local rings

local rings is the plural of local ring.

Meaning of local ring

Noun

local ring (plural local rings)

  1. A commutative ring with a unique maximal ideal, or a noncommutative ring with a unique maximal left ideal or (equivalently) a unique maximal right ideal.
    • The unique maximal ideal of a (commutative) local ring contains all of the zero divisors of such ring, and all elements of the ring outside of it are units. Then in a local ring, the sum of any two zero divisors is also a zero divisor. Contrapositively, if two ring elements add up to a unit then...
  2. The non-routing segment of a token ring network.

Questions about local rings

What is local rings the plural of?
Local rings is the plural of local ring.

Words near local rings in the dictionary

  1. local options
  2. local preacher
  3. local preachers
  4. Local Ribbon of Cold Clouds
  5. local ring
  6. local rings
  7. local road
  8. local sidereal time
  9. local sidereal times
  10. local solar time
  11. local solar times

Source and license

Adapted from Wiktionary: local rings (page history and authors); local ring (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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Cite this entry: “local rings.” Word.ws, https://word.ws/local_rings. Based on Wiktionary, CC BY-SA 4.0.