- #1
naturemath
- 31
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How do you show that x is a nonzero divisor in C[x,y,z,w]/<yz-xw>?
Here's how one can start off on this problem but I would like a nice way to finish it:
If x were a zero divisor, then there is a function f not in <yz-xw> so that
f*x = g*(yz-xw).Here's another question which is slightly more interesting:
prove that x is a nonzero divisor in C[x,y,z,w]/<yw-z^2, yz-xw>.
Here's how one can start off on this problem but I would like a nice way to finish it:
If x were a zero divisor, then there is a function f not in <yz-xw> so that
f*x = g*(yz-xw).Here's another question which is slightly more interesting:
prove that x is a nonzero divisor in C[x,y,z,w]/<yw-z^2, yz-xw>.
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