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visits member for 3 years, 10 months
seen Feb 11 '11 at 22:56

Jul
2
awarded  Curious
Feb
11
accepted Subsequences of regular sequence
Feb
11
comment Subsequences of regular sequence
Thanks. I only looked at the first response to that question.
Feb
11
awarded  Commentator
Feb
11
comment Subsequences of regular sequence
@Matt: I don't think so. $x,z(1-x)$ and $x,y(1-x),z(1-x)$ are both regular there.
Feb
11
asked Subsequences of regular sequence
Feb
6
comment Why is the prime spectrum of a domain irreducible in the Zariski topology
$0$ is the only minimal prime of $R$. Suppose, $R=V(I)\cup V(J)$. If $I,J$ are nonzero, then the zero ideal is in neither closed set. So, one of them must be zero, in which case, the corresponding closed set is the entire spectrum.
Feb
6
accepted Intersection of powers of an ideal in a Noetherian ring
Feb
6
asked Why is the prime spectrum of a domain irreducible in the Zariski topology
Feb
3
accepted Hausdorffness of a topological abelian group
Feb
2
comment Hausdorffness of a topological abelian group
OK. I guess if you choose a $V$ as above, then consider the neighbourhood of $1$ given by $V\cap (G-{{xy^{-1}}})$, then the intersection in my comment above is nonempty.
Feb
2
comment Hausdorffness of a topological abelian group
Why points are closed implies $G/H$ is $T_2$?
Feb
2
comment Hausdorffness of a topological abelian group
Thanks for the elaborate answer. I am still unable to see why $xV\cap yV=\emptyset$.
Feb
1
asked Hausdorffness of a topological abelian group
Feb
1
comment Completion of a polynomial ring w.r.t the homogeneous maximal ideal is the power series ring
Thanks. Seems like a strange notation.
Feb
1
asked Completion of a polynomial ring w.r.t the homogeneous maximal ideal is the power series ring
Jan
25
comment Intersection of powers of an ideal in a Noetherian ring
Thanks for that example.
Jan
25
comment Intersection of powers of an ideal in a Noetherian ring
@Akhil: Thanks a lot. That helps. Do you know if it's true in the regular case if $R$ is not local.
Jan
25
asked Intersection of powers of an ideal in a Noetherian ring
Jan
24
accepted Inverse limit in the category of sets