Example 3

Tag 04GJ, permanent. Cite it as [Bourbaki, Tag 04GJ].

Commutative Algebra, chapter III, § 3. m-adic topologies on Noetherian rings

Let $A$ be a Noetherian semi-local ring and $r$ its Jacobson radical. Then $A$ with the $r$ -adic topology is a Zariski ring. This will always be the topology in question (unless otherwise stated) when we consider a Noetherian semi-local ring as a topological ring.

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

Cited by

Proposition 7, § 3
Corollary 2, § 2

Cites

Nothing.