Word.ws English Dictionary

irreducible

/ˌɪɹɪˈdjuːsɪbəl/

irreducible adjective: not able to be reduced or lessened.

Adjective

irreducible (not comparable)

  1. Not able to be reduced or lessened.
    • With each reduction in the number of railways, there must come, eventually, a decline in interest, if only through reduction in variety; and when it comes to one nationalised railway only we have reached the irreducible minimum.1948 January and February, Cecil J. Allen, “British Locomotive Practice and Performance”, in Railway Magazine, page 48
    Antonyms:
    unincreasable
  2. Not able to be brought to a simpler or reduced form.
  3. Unable to be factorized into polynomials of lower degree, as (x² + 1).
  4. Whose numerator and denominator share no common factor greater than 1.
  5. Unable to be factored into smaller integers; prime.
  6. Whose only divisors are units and associates.
  7. Inexpressible as the union of two proper algebraic subvarieties.
  8. Not containing a sphere of codimension 1 that is not the boundary of a ball.
  9. Impossible to divide further into representations of lower dimension by means of any similarity transformation.

Noun

irreducible (plural irreducibles)

  1. Such a polynomial

irreducible meaning in Tamil

irreducible in Tamil

குறுக்கமுடியாத, ஒழுங்கற்ற, சீரற்ற, சீர்கெட்ட

Examples of irreducible in a sentence

  • If C is reducible, we compare its gonality to that of its irreducible components.
  • A primary ideal has a prime ideal as radical, so its corresponding algebraic set is irreducible.
  • The two values are in good agreement considering the irreducible uncertainties in the calculations.

All 12 example sentences with irreducible

Antonyms of irreducible

Forms of irreducible

pluralirreducibles

Origin of irreducible

From ir- + reducible.

Words formed from irreducible

Questions about irreducible

What does irreducible mean?
Irreducible means not able to be reduced or lessened.
What is irreducible in Tamil?
Irreducible in Tamil is குறுக்கமுடியாத, ஒழுங்கற்ற, சீரற்ற. See Irreducible meaning in Tamil.
What part of speech is irreducible?
Irreducible can be an adjective or a noun.
How do you pronounce irreducible?
Irreducible is pronounced /ˌɪɹɪˈdjuːsɪbəl/.

Words near irreducible in the dictionary

  1. irredentist
  2. irredentistic
  3. irredentists
  4. irreducibilities
  5. irreducibility
  6. irreducible
  7. irreducible complexity
  8. irreducibleness
  9. irreducibles
  10. irreducibly
  11. irreducibly complex

Source and license

Adapted from Wiktionary: irreducible (page history and authors); irreducible (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.

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Pronunciation audio from Wikimedia Commons, each file under its own free license: LL-Q1860 (eng)-Flame, not lame-irreducible.wav.

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