Saturday, January 6, 2018

abstract algebra - How to prove the uniqueness



I'm trying to solve this question from Fulton's algebraic curves:






I've already easily solved (a) and the existence part of (b). I'm having problems to prove the uniqueness of part (b).



I need help.



Thanks in advance.


Answer



If aR is invertible and bR are such that a+bt=0, then a=b=0: if b0, then am, a contradiction.


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