Bourbaki

Definition 2

Tag 049D, permanent. Cite it as [Bourbaki, Tag 049D].

Commutative Algebra, chapter II, § 4. Spectra of rings and supports of modules

Every maximal irreducible subset of a topological space XX is called an irreducible component of XX.

It follows from Proposition 2 that every irreducible component of XX is closed in XX.

Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.

Cited by

Nothing.

Cites

Transcribed from the printed volume. Not translated.