bio | website | |
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location | Hanoi | |
age | 30 | |
visits | member for | 2 years, 7 months |
seen | Apr 3 at 11:13 | |
stats | profile views | 982 |
I am interested in commutative algebra, especially, local cohomology and characteristic $p$ method.
Mar 1 |
awarded | Self-Learner |
Feb 28 |
comment |
Dimension of a ring after localization
Example $u = 1 + X$ and $v = 1 + X^2$ we have $u - v = X - X^2 = X(1 -X)$ is unit in $T_S$ since both $X$ and $1-X$ are units in $T_S$. |
Feb 28 |
revised |
Dimension of a ring after localization
added 42 characters in body |
Feb 28 |
comment |
Dimension of a ring after localization
Thanks you Mahdi! I accepted your answer. |
Feb 28 |
accepted | Dimension of a ring after localization |
Feb 28 |
answered | Dimension of a ring after localization |
Feb 28 |
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Dimension of a ring after localization
Dear Fred, I do not have that paper. Could you please sent it for me. I think I can prove it. |
Feb 27 |
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Dimension of a ring after localization
I only known Countable Prime Avoidance Lemma for complete local ring before. Thanks you very much for the new form. But the ring in my question do not have this assumption. |
Feb 27 |
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Dimension of a ring after localization
Thanks you Fred. But in my question we do not assume that $R/\mathfrak{m}$ is uncountable. |
Feb 27 |
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Dimension of a ring after localization
I know Countable Prime Avoidance Lemma. But I do not know how to apply it for my question. Could you give a detail answer. |
Feb 26 |
asked | Dimension of a ring after localization |
Feb 7 |
awarded | Notable Question |
Oct 26 |
answered | Colon property of Gorenstein rings |
Oct 26 |
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Colon property of Gorenstein rings
I work with all parameter ideals |
Oct 25 |
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Colon property of Gorenstein rings
@ Youngsu: I have proved that the ring satisfying the question must be $F$-regular. |
Oct 24 |
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Colon property of Gorenstein rings
I think so. I have just see this paper of Wenliang Zhang (arxiv.org/abs/0709.0943), the condition (C) in this paper is much similar to my question. He consider colon property for all ideals. So I think that ring satisfying my question may be regular of $F$-regualar. Do you have any example of non-regular ring for my question? |
Oct 23 |
comment |
Colon property of Gorenstein rings
Thank you. Do you have any example with $R$ is reduce. |
Oct 23 |
accepted | Colon property of Gorenstein rings |
Oct 22 |
asked | Colon property of Gorenstein rings |
Oct 8 |
comment |
Bernstein-Sato polynomial (one variable)
Thanks you. Based on your answer I think we can give an explicit answer for some questions of Lyubeznik in this paper ams.org/journals/proc/1997-125-07/S0002-9939-97-03774-X in the case one variable. |