Definitions from Wiktionary ( )

▸ adjective:  Not able to be reduced or lessened.
▸ adjective:  Not able to be brought to a simpler or reduced form.
▸ adjective:  (mathematics, of a polynomial) Unable to be factorized into polynomials of lower degree, as (x² + 1).
▸ adjective:  (number theory, of a fraction) Whose numerator and denominator share no common factor greater than 1.
▸ adjective:  (number theory, of an integer) Unable to be factored into smaller integers; prime.
▸ adjective:  (algebra, of an element of a ring) Whose only divisors are units and associates.
▸ adjective:  (algebraic geometry, of an algebraic variety) Inexpressible as the union of two proper algebraic subvarieties.
▸ adjective:  (topology, of a manifold) Not containing a sphere of codimension 1 that is not the boundary of a ball.
▸ adjective:  (group theory, of a representation) Impossible to divide further into representations of lower dimension by means of any similarity transformation.
▸ noun:  (mathematics) Such a polynomial





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