Equation 677 Database

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Magma f2b2cfb55941…

magma f2b2cfb55941
Size
91
Isomorphism class hash
f2b2cfb55941b5b6b37d4ac15f66796ab18b5ba0c0ebcc13740e36c389f4c475
Satisfies Equation 255
yes
Right-cancellative
yes
Idempotent
no
Submitted by
bulk-import-memoryleak47
Submitted at
2026-04-23 21:25:13
Display reorder
90,78,82,80,85,81,83,87,88,79,84,89,86,0,71,42,27,13,54,60,51,16,30,39,74,4,3,73,38,29,15,50,59,53,18,26,41,76,6,8,23,34,66,64,69,31,20,11,58,43,46,55,2,5,75,40,25,17,52,61,49,14,28,37,72,1,12,21,32,70,62,67,35,24,9,56,47,44,7,77,45,48,57,10,19,36,68,63,65,33,22 history
Raw table
canonical order · displayed order
Equational Theories
Finite Magma Explorer

Commentary

Size-91 (= 7 × 13) right-cancellative fiber bundle: F_7(4,1) base × F_13(9,11) fiber, in the "twisted" Family B variant. The 91 elements partition into 7 fibers of 13 (this is a non-trivial congruence with F_7 quotient), but only ONE fiber is itself a sub-magma — the fiber over the F_7-idempotent coset, which is isomorphic to F_13(9,11). The other 6 fibers are congruence classes that are NOT closed under ◇ (so they are fibers in the sense of a fiber bundle, but not sub-magmas). The full magma is a quasigroup (LC + RC) with a unique idempotent, and the F_13 sub-magma acts regularly on each non-closed fiber via left-multiplication. Analogous in structure to the size-77 F_7 × F_11 family-B magmas in the database.

last edited by dwrensha at 2026-04-29 15:15:07 · history