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Irreducible vs Ineradicable - What's the difference?

irreducible | ineradicable |

As adjectives the difference between irreducible and ineradicable

is that irreducible is not able to be reduced or lessened while ineradicable is not able to be eradicated; of root, too deep to remove.

As a noun irreducible

is (mathematics) such a polynomial.

irreducible

English

Adjective

(en adjective)
  • Not able to be reduced or lessened.
  • Not able to be brought to a simpler or reduced form.
  • (mathematics, of a polynomial) Unable to be factorized into polynomials of lower degree, as (x^2 + 1) .
  • (mathematics, of an integer) Unable to be factored into smaller integers; prime.
  • (topology, of a manifold) Not containing a sphere of codimension 1 that is not the boundary of a ball.
  • (group theory, of a representation) impossible to divide further into representations of lower dimension by means of any similarity transformation

    • Antonyms

    * reducible * (unable to be reduced) unincreasable

    Derived terms

    * irreducibility * irrep

    Noun

    (en noun)
  • (mathematics) Such a polynomial

    • ineradicable

    English

    Adjective

    (head)
  • not able to be eradicated; of root, too deep to remove.

    • Related terms

    * ineradicability * ineradicably

    Synonyms

    * deep-rooted * firm * inannihilable * ingrained * inveterate

    Antonyms

    * eradicable