A pilgrimage through the lands of structure, in ten waystones — being the rings-and-polynomials arc of Pinter's A Book of Abstract Algebra, chapters XVII–XXVI.
The first road ended at a gate, and the ghost keeping it said this: "Beyond this gate lie the lands of Rings and Fields, and at their far edge, my own theory: why the quintic keeps its secret. The second road will be cut when you call for it."
You called for it. This is the cut road — the country of two operations, where addition and multiplication must live together and the whole vocabulary changes: rings, ideals, domains, primes, polynomials. Ten waystones, ten keepers. At the far end a smith will forge you a field out of a polynomial that had no roots, and the pass to the third road will stand open.
Sworn testimony of chapters already mastered. Waystones up to and including this one stand unlocked.
Beyond the tenth waystone lies the pass into the country of Fields. It does not open for the unproven.