A certified basis of 4 identities
This list of identities is a basis, proved in Lean, of 11 semigroups of order six, all of which generate the variety V[14973]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-c55a54e9a94bcd46 in the data of the bases-min seal.
Certified for
[6, 14973] [6, 14984] [6, 15918] [6, 15922] [6, 15926] [6, 15927] [6, 15937] [6, 15938] [6, 15939] [6, 15948] [6, 15949]
The identities
- x² ≈ x⁵
- xy ≈ xy⁴
- x²y ≈ yx²y³
- xyz ≈ xzy