Mixing
Existence of ideal in Cohen-Macaulay ring, going modulo which still gives Cohen-Macaulay [closed]
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Let $R$ be a local Cohen-Macaulay ring of dimension $le 2$. Does there necessarily exist an ideal $J$ of $R$ such that $sqrt J$ is a minimal prime ideal of $R$ and $R/J$ is Cohen-Macaulay ?
commutative-algebra noetherian krull-dimension local-rings cohen-macaulay
asked Jan 26 at 6:31
user521337user521337
1,1981417
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closed as off-topic by user26857, rschwieb, max_zorn, Cesareo, Shailesh Jan 27 at 3:25
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – user26857, rschwieb, max_zorn, Cesareo, Shailesh
If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
$begingroup$
Let $R$ be a local Cohen-Macaulay ring of dimension $le 2$. Does there necessarily exist an ideal $J$ of $R$ such that $sqrt J$ is a minimal prime ideal of $R$ and $R/J$ is Cohen-Macaulay ?
commutative-algebra noetherian krull-dimension local-rings cohen-macaulay
asked Jan 26 at 6:31
user521337user521337
1,1981417
$endgroup$
closed as off-topic by user26857, rschwieb, max_zorn, Cesareo, Shailesh Jan 27 at 3:25
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – user26857, rschwieb, max_zorn, Cesareo, Shailesh
If this question can be reworded to fit the rules in the help center, please edit the question.
1
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I don't understand why this question is on hold.
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– Youngsu
Jan 28 at 2:50
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@Youngsu: I am amazed as well ...
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– user521337
Jan 28 at 21:49
add a comment |
$begingroup$
Let $R$ be a local Cohen-Macaulay ring of dimension $le 2$. Does there necessarily exist an ideal $J$ of $R$ such that $sqrt J$ is a minimal prime ideal of $R$ and $R/J$ is Cohen-Macaulay ?
commutative-algebra noetherian krull-dimension local-rings cohen-macaulay
asked Jan 26 at 6:31
user521337user521337
1,1981417
$endgroup$
Let $R$ be a local Cohen-Macaulay ring of dimension $le 2$. Does there necessarily exist an ideal $J$ of $R$ such that $sqrt J$ is a minimal prime ideal of $R$ and $R/J$ is Cohen-Macaulay ?
commutative-algebra noetherian krull-dimension local-rings cohen-macaulay
commutative-algebra noetherian krull-dimension local-rings cohen-macaulay
asked Jan 26 at 6:31
user521337user521337
1,1981417
asked Jan 26 at 6:31
user521337user521337
1,1981417
asked Jan 26 at 6:31
user521337user521337
1,1981417
asked Jan 26 at 6:31
user521337user521337
1,1981417
asked Jan 26 at 6:31
user521337user521337
1,1981417
1,1981417
closed as off-topic by user26857, rschwieb, max_zorn, Cesareo, Shailesh Jan 27 at 3:25
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – user26857, rschwieb, max_zorn, Cesareo, Shailesh
If this question can be reworded to fit the rules in the help center, please edit the question.
closed as off-topic by user26857, rschwieb, max_zorn, Cesareo, Shailesh Jan 27 at 3:25
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – user26857, rschwieb, max_zorn, Cesareo, Shailesh
If this question can be reworded to fit the rules in the help center, please edit the question.
1
$begingroup$
I don't understand why this question is on hold.
$endgroup$
– Youngsu
Jan 28 at 2:50
$begingroup$
@Youngsu: I am amazed as well ...
$endgroup$
– user521337
Jan 28 at 21:49
add a comment |
1
$begingroup$
I don't understand why this question is on hold.
$endgroup$
– Youngsu
Jan 28 at 2:50
$begingroup$
@Youngsu: I am amazed as well ...
$endgroup$
– user521337
Jan 28 at 21:49
1
1
$begingroup$
I don't understand why this question is on hold.
$endgroup$
– Youngsu
Jan 28 at 2:50
$begingroup$
I don't understand why this question is on hold.
$endgroup$
– Youngsu
Jan 28 at 2:50
$begingroup$
@Youngsu: I am amazed as well ...
$endgroup$
– user521337
Jan 28 at 21:49
$begingroup$
@Youngsu: I am amazed as well ...
$endgroup$
– user521337
Jan 28 at 21:49
add a comment |
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$begingroup$
I don't understand why this question is on hold.
$endgroup$
– Youngsu
Jan 28 at 2:50
$begingroup$
@Youngsu: I am amazed as well ...
$endgroup$
– user521337
Jan 28 at 21:49