Varieties of Structurally Trivial Semigroups III
Samuel J. L. Kopamu · Communications in Algebra · 2007
The skeleton of the lattice of all structurally trivial semigroup varieties is known to be isomorphic to an infinitely ascending inverted pyramid (Kopamu, 2003 Kopamu , S. J. L. ( 2003 ). Varieties of structurally trivial semigroups II . Semigroup Forum 66 : 401 – 415 .[Crossref] , [Google Scholar]). We digitize the skeleton by representing each variety forming the skeleton as an ordered triple of non-negative integers. This digitization of the lattice, under the pointwise ordering of non-negative integers, provides useful algorithms which could easily be programmed into a computer, and then used to compute varietal joins and meets, or even to draw skeleton lattice diagrams. An application to a certain larger subvariety lattice is also given as an example.