quotient set

noun

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.”

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Meanings

nounquotient set (plural quotient sets)

plural quotient sets

  1. given some set and an equivalence relation on that setmathematicsthe 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.

Translations

Finnish tekijäjoukko
  • tekijäjoukkoset of all equivalence classes
Cite this entry
APA

quotient set. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/quotient%20set

MLA

“quotient set.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/quotient%20set. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “quotient set,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/quotient%20set.

Source: quotient set on Wiktionary, CC BY-SA 4.0.