释义 |
irreducible Unable to be factorized. So prime numbers are irreducible integers, and x2 + 1 is irreducible when considered as a real polynomial though it is reducible to (x + i) (x−i) as a complex polynomial where . More generally, an element x of an integral domain R is irreducible if x is non-zero, not a unit, and whenever x = yz where y, z ∈ R, then y or z is a unit. In a unique factorization domain an element is irreducible if and only if it is a prime element, but this is not the case generally in rings.
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