ENGLISH DICTIONARY

Irreducible

/ˌɪɹɪˈdjuːsɪbəl/ · adjective

Meaning

Not able to be reduced or lessened..

Definitions by Sense

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 (x² + 1).
(number theory, of a fraction) Whose numerator and denominator share no common factor greater than 1.
(number theory, of an integer) Unable to be factored into smaller integers; prime.
(algebra, of an element of a ring) Whose only divisors are units and associates.
(algebraic geometry, of an algebraic variety) Inexpressible as the union of two proper algebraic subvarieties.
(topology, of a manifold) Not containing a sphere of codimension 1 that is not the boundary of a ball.

Example Sentences

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.

Word Forms

irreducibles

Antonyms for irreducible

Related Words

When Should You Use Irreducible?

Use irreducible when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.

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Frequently Asked Questions

What does irreducible mean?

Irreducible means Not able to be reduced or lessened..

What is a synonym for irreducible?

The closest synonym depends on the sentence and intended sense.

What is the opposite of irreducible?

Possible antonyms include reducible, unincreasable.

How do you use irreducible in a sentence?

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.

Sources & Attribution

FreeDictionaryAPI.com / Wiktionary · Original source · CC BY-SA 4.0

Dictionary data is provided by FreeDictionaryAPI.com and sourced from Wiktionary under its stated license.

ENGLISH DICTIONARY

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Definitions by Sense

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 (x² + 1).

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

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

(algebra, of an element of a ring) Whose only divisors are units and associates.

(algebraic geometry, of an algebraic variety) Inexpressible as the union of two proper algebraic subvarieties.

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