Word.ws English Dictionary

quotient sets

quotient sets is the plural of quotient set.

Meaning of quotient set

Noun

quotient set (plural quotient sets)

  1. (given some set and an equivalence relation on that set) the set consisting of all equivalence classes
    • Given the set of integers ℤ, and the equivalence relation a∼b⟺a≡b( mod 2)⟺(a-b)%2=0, the quotient set is written ℤ/∼=̄0,̄1, consisting of the even and the odd integers.

Questions about quotient sets

What is quotient sets the plural of?
Quotient sets is the plural of quotient set.

Words near quotient sets in the dictionary

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

Source and license

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