I have been asked to show a number of facts about the quotient ring $\mathbb{F}_5[X,Y]/(Y^2-X^3+1).$ One of the first things I'm asked to do is find the factorization of the ideal $(X-1)$ in this ring. I'd love a hint as to how to go about this.
2026-03-25 18:55:03.1774464903
Factoring an ideal in a quotient polynomial ring
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