Word.ws English Dictionary

local ring

local ring noun: 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.

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.

local ring meaning in Tamil

local ring in Tamil

அண்மை வளையம்

Forms of local ring

plurallocal rings

Questions about local ring

What does local ring mean?
Local ring means 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.
What is local ring in Tamil?
Local ring in Tamil is அண்மை வளையம். See Local ring meaning in Tamil.
What part of speech is local ring?
Local ring is a noun.
What is the plural of local ring?
The plural of local ring is local rings.

Words near local ring in the dictionary

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

Source and license

Adapted from Wiktionary: local ring (page history and authors); local ring (Tamil Wiktionary) (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.

Last updated:

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