E-unitary inverse semigroups over semilattices

Tight Representations of Semilattices and Inverse Semigroups

By a Boolean inverse semigroup we mean an inverse semigroup whose semilattice of idempotents is a Boolean algebra. We study representations of a given inverse semigroup S in a Boolean inverse semigroup which are tight in a certain well defined technical sense. These representations are supposed to preserve as much as possible any trace of Booleannes present in the semilattice of idempotents of ...

Partial actions of groups their globalisations and E-unitary inverse semigroups

Constructing Homomorphisms through E-unitary Inverse Semigroups via Partial Group Actions and Semilattice Actions

The Uniform Word Problem for Groups and Finite Rees Quotients of E-unitary Inverse Semigroups

Factorisability in certain classes over inverse semigroups

In the structure theory of inverse semigroups, there are two approaches, basically from the 1970’s, to build up inverse semigroups from semilattices and groups via their semidirect products. These approaches are dual to each other in the sense that one produces any inverse semigroup from a semidirect product of a semilattice by a group by taking an idempotent separating homomorphic image of an ...