I have a question which asks for a generating set of Syz($h_1,h_2,h_3,h_4$)
where
$h_1=x^2y+z^2$
$h_2=zy^2+yx^3$
$h_3=xz-y^2$
$h_4=y^4+yx^4$
I know that it is formed by...
$Syz(h_1,h_2,...h_m)=$ {$\alpha \in R^m | \alpha_1h_1+\alpha_2h_2+....+\alpha_mh_m=0$}
Can anyone help me with how to use this to answer the question.. In lectures we only went through a very simple answer that you could see how to solve, as it was obvious
