A certified basis of 2 identities
This list of identities is a basis, proved in Lean, of 10 semigroups of order six, all of which generate the variety V[15099]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-975db102dd4692ee in the data of the bases-min seal.
Certified for
[6, 15099] [6, 15196] [6, 15439] [6, 15479] [6, 15480] [6, 15639] [6, 15651] [6, 15655] [6, 15657] [6, 15748]
The identities
- x ≈ x²
- xyz ≈ xyzxz