Definition:Zariski Topology/Spectrum of Ring
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Definition
Let $A$ be a commutative ring with unity.
Let $\Spec A$ be the prime spectrum of $A$.
The Zariski topology on $\Spec A$ is the topology with closed sets the vanishing sets $\map V S$ for $S \subseteq A$.
Also see
- Vanishing Sets of Subsets of Ring Satisfy Closed Set Axioms
- Definition:Zariski Topology on Maximal Spectrum of Ring
- Results about Zariski topology can be found here.
Source of Name
This entry was named for Oscar Zariski.