Commit 2026-10-18 08:25 f0320d93
View on Github →feat(RingTheory/FractionalIdeal): add HasUniqueRoots instance (#40636)
- The monoid of fractional ideals with respect to
S ≤ R⁰is the localization of the monoid of ideals ofRat the principal ideals generated by an element ofS. - The target of a localization map of a monoid with unique roots has unique roots.
- As a consequence, the monoid of fractional ideals has unique roots when the monoid of ideals does.
A comment also records that the monoid of ideals of a Dedekind domain has unique roots only once
Mathlib.Algebra.GroupWithZero.Torsionis imported. :robot: This PR was extracted from the SKW project by Claude.