irreducible

Meaning

Adj

1. (not-comparable) Not able to be reduced or lessened.
2. (not-comparable) Not able to be brought to a simpler or reduced form.
3. (not-comparable) Unable to be factorized into polynomials of lower degree, as (x² + 1).
4. (not-comparable) Whose numerator and denominator share no common factor greater than 1.
5. (not-comparable) Unable to be factored into smaller integers; prime.
6. (not-comparable) Whose only divisors are units and associates.
7. (not-comparable) Inexpressible as the union of two proper algebraic subvarieties.
8. (not-comparable) Not containing a sphere of codimension 1 that is not the boundary of a ball.
9. (not-comparable) Impossible to divide further into representations of lower dimension by means of any similarity transformation.

Noun

Such a polynomial

Opposite of

unincreasable

Synonyms

insuperable

insurmountable

minimum

unabated

undiminished

unfailing

unflagging

unimpaired

Haken

Translations

irriducibile

irreduzibel

αμείωτος

nicht reduzierbar

irreductible

irreductible

irréductible

indirgenemez

onherleidbaar

incontornável

irreducible

Pronounced as (IPA)

/ˌɪɹɪˈdjuːsɪbəl/

Etymology

From ir- + reducible.