• IPA: /ˌɪɹɪˈdjuːsɪbəl/


  1. Not able to be reduced or lessened.
    Antonyms: unincreasable
  2. Not able to be brought to a simpler or reduced form.
  3. (mathematics, of a polynomial) Unable to be factorized into polynomials of lower degree, as (x2 + 1).
  4. (mathematics, of an integer) Unable to be factored into smaller integers; prime.
  5. (algebra, of an element of a ring) that its only divisors are units and associates.
  6. (topology, of a manifold) Not containing a sphere of codimension 1 that is not the boundary of a ball.
  7. (group theory, of a representation) Impossible to divide further into representations of lower dimension by means of any similarity transformation.
Antonyms Noun

irreducible (plural irreducibles)

  1. (mathematics) Such a polynomial

This text is extracted from the Wiktionary and it is available under the CC BY-SA 3.0 license | Terms and conditions | Privacy policy 0.022
Offline English dictionary