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Post Closed as "Duplicate" by Eric Wofsey, Jeremy Rickard, David E Speyer, Yoav Kallus, Alex Degtyarev
Changed formatting. There is a simple command for italic text, no reason to use math mode for that.
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Joonas Ilmavirta
Joonas Ilmavirta
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When Max(R) is hausdorffHausdorff space?

Let $R$ be reduce commutative ring with identity (a commutative ring such that $a^n$=0 ($a\in R$) implise $a=0$) and $Max(R)$ be the set of all maximal ideals of $R$. The $hull-kernel$hull-kernel (or $Zariski$Zariski topology) topology on $Max(R)$ is the topology obtained by taking the collection of sets $U(a) =\{m\in Max(R) : a\not\in m\}$ or arbitrary $a\in R$ as a base for the open sets. when is $Max(R)$ with $hull-kernel$hull-kernel topology hausdorffHausdorff space?

When Max(R) is hausdorff space?

Let $R$ be reduce commutative ring with identity (a commutative ring such that $a^n$=0 ($a\in R$) implise $a=0$) and $Max(R)$ be the set of all maximal ideals of $R$. The $hull-kernel$ (or $Zariski$ topology) topology on $Max(R)$ is the topology obtained by taking the collection of sets $U(a) =\{m\in Max(R) : a\not\in m\}$ or arbitrary $a\in R$ as a base for the open sets. when is $Max(R)$ with $hull-kernel$ topology hausdorff space?

When Max(R) is Hausdorff space?

Let $R$ be reduce commutative ring with identity (a commutative ring such that $a^n$=0 ($a\in R$) implise $a=0$) and $Max(R)$ be the set of all maximal ideals of $R$. The hull-kernel (or Zariski topology) topology on $Max(R)$ is the topology obtained by taking the collection of sets $U(a) =\{m\in Max(R) : a\not\in m\}$ or arbitrary $a\in R$ as a base for the open sets. when is $Max(R)$ with hull-kernel topology Hausdorff space?

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e.r
e.r
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When Max(R) is hausdorff space?

Let $R$ be reduce commutative ring with identity (a commutative ring such that $a^n$=0 ($a\in R$) implise $a=0$) and $Max(R)$ be the set of all maximal ideals of $R$. The $hull-kernel$ (or $Zariski$ topology) topology on $Max(R)$ is the topology obtained by taking the collection of sets $U(a) =\{m\in Max(R) : a\not\in m\}$ or arbitrary $a\in R$ as a base for the open sets. when is $Max(R)$ with $hull-kernel$ topology hausdorff space?