Consider the ring $R=\mathbb{C} [x, y] /(f(x, y)) $ where $f(x, y) =y^2-x(x^2-1)$. Is there any systematic way to determine factorization of ideal generated by (image of) $x-2$ in $R$?
Just some hints for computation are sufficient.
2026-03-30 05:32:10.1774848730
Factorization of ideal of a quotient ring
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