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1,019
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Edit questions and answers
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 Necromancer
Impact
~9k people reached

Mar
11
comment Why this ideal is a subset of $K[x_0, \dots, x_n]$
Yes, the question as you pose it is trivial. $I(p)$ is an ideal of $K[x_0,\dots,x_n]$ by definition. Check back in the context where you found the question and try to find what the problem is about. Have you checked that it is proper?
Mar
7
awarded  Necromancer
Mar
7
revised Is homology with coefficients in a field isomorphic to cohomology?
added 23 characters in body
Mar
7
comment Is homology with coefficients in a field isomorphic to cohomology?
@YilongZhang yes, vector space duality! I edited my answer.
Feb
13
comment Galois closure of a $p$-extension is also a $p$-extension
@TheNicanova It is $L/K$, not $L/F$ that is equal to $K(\alpha)/K$. Now, $m_\alpha$ splits over $K$ into some irreducibles, so $K(\alpha)/K$ is the splitting field of a separable polynomial.
Feb
12
awarded  Revival
Jan
15
accepted Is the category of finite sets small?
Jan
14
revised Is the category of finite sets small?
include more context.
Jan
14
comment Is the category of finite sets small?
Aha, that makes a lot of sense, especially given the next sentence below in the book. Let me update the question, then you can answer it for real.
Jan
14
asked Is the category of finite sets small?
Dec
16
answered Galois closure of a $p$-extension is also a $p$-extension
Dec
16
comment Galois closure of a $p$-extension is also a $p$-extension
This proof is wrong. There are elements $\sigma_i$ in the Galois group of $M/F$ that don't fix $K$. Therefore the Lemma is not applicable. Also this proof has not used that $K/F$ is Galois. This is necessary since otherwise $p=3$, $F=\mathbb{Q}$, $K=L=\mathbb{Q}(\sqrt[3]{2})$ would have a Galois closure with a 3-group as Galois group. In reality it has $S_6$.
Oct
28
awarded  Civic Duty
Oct
12
comment Is an irreducible ideal in $R$ irreducible in $R[x]$?
There is an answer to this question on mathoverflow: mathoverflow.net/questions/215768/…
Sep
24
awarded  Yearling
Sep
5
comment How to find the limit of this particular function?
Please also explain what you have tried and where you got stuck. This is a learning opportunity, even if within minutes somebody will just post the correct answer...
Sep
5
revised How to find the limit of this particular function?
Fix everything.
Sep
5
suggested approved edit on How to find the limit of this particular function?
Aug
31
accepted Sign patterns in kernel and rowspace of a matrix
Aug
31
answered Sign patterns in kernel and rowspace of a matrix