irreducible

/หŒษชษนษชหˆdjuหsษชbษ™l/

IPA: /IH0 R AH0 D UW1 S AH0 B AH0 L/

noun
  1. 1

    Such a polynomial

adjective
  1. 1

    Not able to be reduced or lessened.

  2. 2

    Not able to be brought to a simpler or reduced form.

  3. 3

    (of a polynomial) Unable to be factorized into polynomials of lower degree, as (x2 + 1).

  4. 4

    (of a fraction) Whose numerator and denominator share no common factor greater than 1.

  5. 5

    (of an integer) Unable to be factored into smaller integers; prime.

  6. 6

    (of an element of a ring) that its only divisors are units and associates.

  7. 7

    (of a manifold) Not containing a sphere of codimension 1 that is not the boundary of a ball.

  8. 8

    (of a representation) Impossible to divide further into representations of lower dimension by means of any similarity transformation.

Source: https://en.wiktionary.org/wiki/irreducible