460 reputation
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visits member for 2 years, 9 months
seen Jul 20 at 11:10

Jul
20
accepted Why $F \leq F' \; \Leftarrow \; \forall x \in X \; F_x \subseteq F'_x$?
Jul
18
asked Why $F \leq F' \; \Leftarrow \; \forall x \in X \; F_x \subseteq F'_x$?
Jul
2
awarded  Curious
Jun
24
awarded  Popular Question
Jun
24
awarded  Nice Question
Jun
24
awarded  Yearling
Jun
24
asked Has any error ever been found in Euclid's elements?
Jun
18
accepted A condition for a homogeneous ideal to be prime
Jun
18
asked A condition for a homogeneous ideal to be prime
Jun
5
accepted Why is it Artinian?
Jun
5
comment Why is it Artinian?
I didn't know the alternative definition. Thank you for that.
Jun
5
comment Why is it Artinian?
Thank you for your help. I understand that for each product $x_1 x_2 \cdots x_n$ where $x_i \in m_i$ there exists $i$ such that $x_i \in p$. But how do we know that $p \supset m_i$ for some $i$.
Jun
5
revised Why is it Artinian?
added 2 characters in body
Jun
5
asked Why is it Artinian?
May
6
comment Proof of a corollary of the Noether normalisation lemma
@Cantlog : There is an addendum between the lemma and the corollary saying "under the condition of the lemma, if furthermore $k$ is algebraiccaly closed, and $A$ is an integral domain with field of fractions $K$ then ...". So, they may be the additional conditions.
May
5
asked Proof of a corollary of the Noether normalisation lemma
Apr
11
accepted If $X \times \{0\} \cup A \times I$ is closed in $X \times I$. Then, is $A$ closed in $X$?
Apr
11
comment If $X \times \{0\} \cup A \times I$ is closed in $X \times I$. Then, is $A$ closed in $X$?
Am I right in thinking that $B\times (0,1]$ is the complement of $X \times \{0\} \cup A \times I$ in $X \times I$. If it is true, then it follows that $B\times (0,1]$ is open.
Apr
11
comment Is the length of the composition series of a free module identical to the number of its bases?
It is the page 118 of 1969 version.
Apr
11
comment Is the length of the composition series of a free module identical to the number of its bases?
It works. Then, the description of the example in this famous book is not correct. Anyway, thank you for your help.