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Results tagged with ac.commutative-algebra
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user 111680
Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
3
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0
answers
129
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What is the $Ass(Ext^p_R(M,R))$?
Let $R$ be a Noetherian commutative local ring, $M$ a finitely generated $R$-module with $p=pd M<\infty$ (projective dimension of $M$). What is the relation between $Ass(Ext^p_R(M,R))$ and $Ass(M)$?
T …
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1
vote
1
answer
209
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On Krull dimension \dim M and \dim Supp(M)
Let $R$ be a commutative Noetherian ring and $M$ an $R$-module (not finitely generated). Are $\dim M$ and $\dim Supp(M)$ same?
- 53
0
votes
1
answer
109
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$0 :_M I^n$ is finitely generated for all $i\ge 1$?
I see the remark that:
"Let $R$ be a Noetherian commutative ring, $M$ an $R$-module and $I$ an ideal of $R.$ Assume that $0 :_M I$ is finitely generated. Then $0 :_M I^n$ is finitely generated for all …
- 53