irreducible

1. (mathematics, of a polynomial) Unable to be factorized into polynomials of lower degree, as (x² + 1).not-comparable

2. (number theory, of a fraction) Whose numerator and denominator share no common factor greater than 1.not-comparable

3. (number theory, of an integer) Unable to be factored into smaller integers; prime.not-comparable

4. (algebra, of an element of a ring) Whose only divisors are units and associates.not-comparable

5. (algebraic geometry, of an algebraic variety) Inexpressible as the union of two proper algebraic subvarieties.not-comparable

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