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Post Closed as "Needs details or clarity" by Joonas Ilmavirta, Hugh Thomas, Alex Degtyarev, Dima Pasechnik, Steven Sam
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edit approved May 2, 2015 at 14:25
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edit approved May 2, 2015 at 14:25
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Marco Golla
Marco Golla
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letLet $(R,m)$ be a noetherian local ring, and $M$ and $N$ be two finitely generated $R$-module. Then is it true that $\dim Ext^i(M,N)\leq dim M-i$$\dim \text{Ext}^k(M,N)\leq \dim M-k$? If not is theredoes the otherreversed inequality hold?

let $(R,m)$ be a noetherian local ring, and $M$ and $N$ two finitely generated $R$-module. Then is it true that $\dim Ext^i(M,N)\leq dim M-i$? If not is there the other inequality?

Let $(R,m)$ be a noetherian local ring, and $M$ and $N$ be two finitely generated $R$-module. Then is it true that $\dim \text{Ext}^k(M,N)\leq \dim M-k$? If not does the reversed inequality hold?

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edit approved May 2, 2015 at 13:57
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edit approved May 2, 2015 at 13:57
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let (R,m)$(R,m)$ be a noetherian local ring, M and N$M$ and $N$ two finitely generated R$R$-module. Then dim $Ext^i(M,N)\leq dim M-i$ is it true. that $\dim Ext^i(M,N)\leq dim M-i$? If not is there the other inequality?

let (R,m) be a noetherian local ring, M and N two finitely generated R-module. Then dim $Ext^i(M,N)\leq dim M-i$ is true. If not is there the other inequality?

let $(R,m)$ be a noetherian local ring, and $M$ and $N$ two finitely generated $R$-module. Then is it true that $\dim Ext^i(M,N)\leq dim M-i$? If not is there the other inequality?

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martia
martia
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