Suppose $k$ is a finite field of order $q$. Let $f = \prod_{1 \leq i \leq s} (x + b_i y)$ and let $g = \prod_{1 \leq i \leq t} (x + c_i y)$, where $b_i, c_j \in k.$ I am interested in finding out what is the ideal generated by $f$ and $g$ when they don't have a common factor. Thanks!
2026-04-13 17:58:54.1776103134
Ideal in $k[x,y]$ generated by two elements
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