A certified basis of 3 identities
This list of identities is a basis, proved in Lean, of 18 semigroups of order six, all of which generate the variety V[2796]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-c25cc7e5d49371f7 in the data of the bases-min seal.
Certified for
[6, 2796] [6, 2805] [6, 2843] [6, 2845] [6, 5266] [6, 5298] [6, 5344] [6, 5349] [6, 5364] [6, 5366] [6, 5464] [6, 5468] [6, 5479] [6, 5679] [6, 5681] [6, 5713] [6, 5723] [6, 5732]
The identities
- xy ≈ yx
- x²y ≈ xy²
- x²yzt ≈ xyzt