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Jan
11
answered Ring with Cohen-Macaulay canonical module
Dec
29
answered Maximal Cohen-Macaulay modules of type one
Dec
11
comment The finiteness of the associated primes of $Ext^i_R(R/I, M)$
the local condition is not important in this question. you can change $\mathbb{Z}[X]$ by $\mathbb{Q}[X,Y,Z]_{(X,Y,Z)}$ and the prime ideals $\{(p,X): p \text{ is prime}\}$ by $\{(X, Y+nZ) : n = 0, 1, ...\}$.
Dec
11
answered The finiteness of the associated primes of $Ext^i_R(R/I, M)$
Sep
18
awarded  Yearling
Sep
7
awarded  Nice Question
Sep
4
comment Graded-irreducible ideals are irreducible?
Thank you Fred, I have a quick look their proof. They used the fact $I$ is irreducible iff the index of reducible of $I$ is one. So their proof need Noetheian condition. My proof is also true for $\mathbb{Z}$-graded (I fell it works for $\mathbb{N}^n$-graded also).
Sep
1
revised Is an irreducible ideal in $R$ also irreducible in $R[x]$?
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Sep
1
revised Is an irreducible ideal in $R$ also irreducible in $R[x]$?
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Sep
1
answered Graded-irreducible ideals are irreducible?
Aug
31
awarded  Custodian
Aug
31
reviewed Approve Is an irreducible ideal in $R$ also irreducible in $R[x]$?
Aug
31
comment Is an irreducible ideal in $R$ also irreducible in $R[x]$?
I edited my answer more detail (add a Fact).
Aug
31
revised Is an irreducible ideal in $R$ also irreducible in $R[x]$?
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Aug
28
revised Is an irreducible ideal in $R$ also irreducible in $R[x]$?
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Aug
28
answered Is an irreducible ideal in $R$ also irreducible in $R[x]$?
Jan
20
comment Ring of differential operators of a quotient ring
Maybe the question is true when $R = k[x_1, ..., x_n]$ a polynomial ring. Anh it is enough to understand the rings of diffirential operators of finite $k$-algebra.
Dec
30
revised On the computational complexity of the Hilbert polynomial of numerical semigroup rings
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Dec
30
asked On the computational complexity of the Hilbert polynomial of numerical semigroup rings
Dec
9
revised Minimal length of quotient by parameter ideals
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