Definition:Irreducible

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Irreducible may refer to:

• Irreducible (Ring Theory): An element of an integral domain $D$ is irreducible iff it has no non-trivial factorization in $D$.

• Irreducible Polynomial: A polynomial is irreducible over a field if it cannot be represented as the product of two or more non-constant polynomials over that field.

The two definitions are conceptually connected.