Peter Hu
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 Sep 2 comment Commuting of Hom and Tensor Product functors? Excuse me... I want to ask that is this property holds for $> 2$ vector spaces? I think it works because the diagram listed above seems work for $> 2$ vector spaces. More generally, in module case, is this property holds for $> 2$ modules (with suitable requirements...)?? Thank you! Jan 12 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 $k(b)/k$ )? Dec 7 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...) Dec 7 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...) Dec 7 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 $k(b)/k$ )? Oct 28 awarded Popular Question Oct 7 awarded Popular Question Sep 24 awarded Autobiographer Jul 2 awarded Curious May 12 comment How to show that $(Y- X^2, Z - X^3) \subseteq k[X,Y,Z]$ is a prime ideal? Thanks a lot! :) May 12 accepted How to show that $(Y- X^2, Z - X^3) \subseteq k[X,Y,Z]$ is a prime ideal? May 12 asked How to show that $(Y- X^2, Z - X^3) \subseteq k[X,Y,Z]$ is a prime ideal? Mar 10 accepted Monic irreducible polynomial over an integral domain Mar 5 revised Monic irreducible polynomial over an integral domain added 251 characters in body Mar 5 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!!!!!!! Mar 5 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! Mar 5 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? Mar 5 comment Monic irreducible polynomial over an integral domain So..., if $f(x) \in D[x]$ is monic, then $f(x)$ is super primitive . Right? Mar 5 revised Monic irreducible polynomial over an integral domain added 37 characters in body Mar 5 asked Monic irreducible polynomial over an integral domain