Size-63 (= 9 × 7) right-cancellative fiber bundle: F_9(3, 7) base × F_7(4, 1) fiber, in the "twisted" Family B variant. The 63 elements partition into 9 fibers of 7 (a non-trivial congruence with F_9 quotient over the extension field F_9 = F_3²), but only ONE fiber is itself a sub-magma — the fiber at the F_9-idempotent coset, isomorphic to F_7(4, 1). The other 8 fibers are non-closed congruence classes. Quasigroup (LC + RC) with a unique idempotent.
dwrensha · 2026-04-29 15:45:49