The element of this unique decomposition are called irreducible components.

In this case, the irreducible components are the varieties associated to the minimal primes over the ideal.

They can also have irreducible components of unexpectedly high dimension.

Then if are the smooth, irreducible components of D, one has with the meeting transversely.

The irreducible components of a Hausdorff space are just the singleton sets.

Thus its elements are called the irreducible components of the algebraic set.

In order to lead to a computer program, this algorithm specification should prescribe how irreducible components are represented.

Indeed, these two lines are its irreducible components.

Sixth normal form is intended to decompose relation variables to irreducible components.

After extending the field to complex numbers, it splits into two irreducible components.