irreducible

Pronunciation

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Pronunciation

- IPA: /ˌɪɹɪˈdjuːsɪbəl/

**irreducible**

- Not able to be reduced or lessened.
- Antonyms: unincreasable

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

**irreducible** (*plural* irreducibles)

- (
*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 0.002