Word.ws English Dictionary

quotient rings

quotient rings is the plural of quotient ring.

Meaning of quotient ring

Noun

quotient ring (plural quotient rings)

  1. (ring theory) For a given ring R and ideal I contained in R, another ring, denoted R / I, whose elements are the cosets of I in R.
    • The third section covers a construct similar to the ring S°R — the maximal quotient ring, which exists for any ring. (When R is nonsingular, the maximal quotient ring is exactly S°R.) Finally, Section D provides an answer to the question of which right and left nonsingular rings have coinciding...1976, Kenneth Goodearl, Ring Theory: Nonsingular Rings and Modules, CRC Press, page 39
    Synonyms:
    difference ring, factor ring, residue class ring

Questions about quotient rings

What is quotient rings the plural of?
Quotient rings is the plural of quotient ring.

Words near quotient rings in the dictionary

  1. quotient group
  2. quotient groups
  3. quotient map
  4. quotient maps
  5. quotient ring
  6. quotient rings
  7. quotient set
  8. quotient sets
  9. quotient space
  10. quotient spaces
  11. quotiented

Source and license

Adapted from Wiktionary: quotient rings (page history and authors); quotient 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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