I come across following ring
$F[x,y] $ and $F(x)[y]$ where $F$ is a field.
I think both are same initially . But as $xy$ is irreducible in $F(x)[y]$ but reducible in $F[x,y] $.
Which is a bigger ring than another?
Please give me a reference where I can read more about the above type of ring.
Any Help will be appreciated.