In this talk, we will explore the concept of i-Fitting-Formation of Clifford semigroups. A Clifford semigroup is an inverse semigroup that is a union of groups. A class of Clifford semigroups is an i-formation if it is closed for idempotent separating quotients and for finitary...

We start by presenting a brief overview of the various known lattice representations.  From there we introduce some results of our work on TiRS graphs which abstract the lattice duals in Ploscica's representation (1995) via maximal partial maps into the two-element set. Those particular...