- #1
DeldotB
- 117
- 8
Homework Statement
Consider the ring of polynomails in two variables over a field K:
[itex]R=K[x,y] [/itex]
a)Show the elements x and y are relatively prime
b) Show that it is not possible to write [itex]1=p(x,y)x+q(x,y)y [/itex]with [itex]p,q \in R [/itex]
c) Show R is not a principle ideal domain
Homework Equations
None
The Attempt at a Solution
[/B]
I'd like to give an attempt, but I have no idea on how to start.
I know that two elements a,b are relatively prime if the only integer that divides them is 1.
Any help would be greatly appreciated.
Last edited: