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 $\operatorname{Spec} A$ is the topology with closed sets the vanishing sets $\map V S$ for $S \subseteq A$.


Also see

  • Results about Zariski topology can be found here.


Source of Name

This entry was named for Oscar Zariski.