Extensions of a semilattice by an inverse semigroup
D.G. Green · Bulletin of the Australian Mathematical Society · 1973
The structure of inverse semigroup extensions of one inverse semigroup R by any other is analyzed in the case where R is a semilattice. Both a representation and method of construction are given. A brief preliminary examination is made of a certain class of congruences, on inverse semigroups, which are intimately related to such extensions.