E-unitary covers for inverse semigroups

Strongly F*-inverse covers for tiling semigroups

We introduce the notion of path extensions of tiling semigroups and investigate their properties. We show that the path extension of a tiling semigroup yields a strongly F *-inverse cover of the tiling semigroup and that it is isomorphic to an HNN * extension of its semilattice of idempo-tents.

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

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

Amalgamation for Inverse and Generalized Inverse Semigroups

For any amalgam (S, T; U) of inverse semigroups, it is shown that the natural partial order on S *u T, the (inverse semigroup) free product of S and T amalgamating U, has a simple form onSUT. In particular, it follows that the semilattice of 5 *u T is a bundled semilattice of the corresponding semilattice amalgam (E(S), E(T); E(U)); taken jointly with a result of Teruo Imaoka, this gives that t...