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Results tagged with cohen-macaulay-rings
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user 5998
5
votes
3
answers
409
views
CM for primary ideal
Let $R$ be a regular local ring, $I$ a prime ideal and $J$ an $I$-primary ideal in $R$. Is it true that if $R/I$ is CM then also $R/J$ is CM?
This question is in some way the inverse of this one.
- 205
2
votes
1
answer
1k
views
Irreducible components of reduced complete intersection
Let $Z$ be an irreducible and reduced scheme. Does there exist a reduced complete intersection $Y$ such that $Z$ is an irreducible component of $Y$?
- 205