Peter Hu
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 Jan12 accepted Is the formula $[k(a,b):k][k(a) \cap k(b):k] = [k(a):k][k(b):k]$ true for simple algebraic extensions ($k(a)/k$ and $k(b)/k$ )? Dec7 comment Is the formula $[k(a,b):k][k(a) \cap k(b):k] = [k(a):k][k(b):k]$ true for simple algebraic extensions ($k(a)/k$ and $k(b)/k$ )? But the formula $[k(a,b):k][k(a) \cap k(b):k] \leq [k(a):k][k(b):k]$ is true. Right? (by my computation...) Dec7 comment Is the formula $[k(a,b):k][k(a) \cap k(b):k] = [k(a):k][k(b):k]$ true for simple algebraic extensions ($k(a)/k$ and $k(b)/k$ )? Oh! I see! Thank you very much! (so... I think I need to find another way to correct my note...) Dec7 asked Is the formula $[k(a,b):k][k(a) \cap k(b):k] = [k(a):k][k(b):k]$ true for simple algebraic extensions ($k(a)/k$ and $k(b)/k$ )? Oct28 awarded Popular Question Oct7 awarded Popular Question Sep24 awarded Autobiographer Sep3 comment An Estimation for Multiple Points in Fulton's Curve Book Aha! I forgot that the dimension of the empty set is -1, not zero. Sorry, I was confused with the definition dimension of linear subvarieties in affine case (since $\mathcal{V}_p(X_1, \dots, X_n, X_{n+1}) = \emptyset$)! I think I have no question about this proof now... Sep2 revised An Estimation for Multiple Points in Fulton's Curve Book added 2 characters in body; edited tags Sep1 revised An Estimation for Multiple Points in Fulton's Curve Book added 4 characters in body Sep1 asked An Estimation for Multiple Points in Fulton's Curve Book Jul2 awarded Curious May12 comment How to show that $(Y- X^2, Z - X^3) \subseteq k[X,Y,Z]$ is a prime ideal? Thanks a lot! :) May12 accepted How to show that $(Y- X^2, Z - X^3) \subseteq k[X,Y,Z]$ is a prime ideal? May12 asked How to show that $(Y- X^2, Z - X^3) \subseteq k[X,Y,Z]$ is a prime ideal? Mar10 accepted Monic irreducible polynomial over an integral domain Mar5 revised Monic irreducible polynomial over an integral domain added 251 characters in body Mar5 comment Monic irreducible polynomial over an integral domain Ah!!!!!!!! Dear all: for the second question, I may find a error! Because there are 2 assumptions of $f_1(y)$, I require that $f_1$ must be monic and have minimal degree... But I don't know $r(y)$ and $r'(y)$ are monic or not!!!!!!! Mar5 comment Monic irreducible polynomial over an integral domain Dear @Bill: does this criterion have a name? or where could I find this criterion? (some papers, text books...) Thank you very much! Mar5 comment Monic irreducible polynomial over an integral domain Dear @Bill: Yeah~ I see. But I just want to insure that any monic polynomial in $D[x]$ is super primitive. Is this statement correct?