This book is an indispensable source for anyone with an interest in semigroup theory or
whose research overlaps with this increasingly important and active field of mathematics. It …

Symmetry is one of the most important organising principles in the natural sciences. The
mathematical theory of symmetry has long been associated with group theory, but it is a …

Free inverse semigroups Page 1 Séminaire Dubreil. Algèbre et théorie des nombres
WALTER MUNN Free inverse semigroups Séminaire Dubreil. Algèbre et théorie des …

Let S be an inverse semigroup with semilattice of idempotents E, and let ϱ (S), or ϱ if there
is no danger of ambiguity, be the minimum group congruence on S. Then S is said to be …

An inverse semigroup is called E-unitary if the equations ea= e= e2 together imply a2= a. In
a previous paper [4], the author showed that any E-unitary inverse semigroup is isomorphic …

In this paper, we introduce a type of representation, by partial one-to-one transformations, for
semigroups which can be embedded in groups; we call these representations zig-zag …

A largely untouched problem in the theory of inverse semigroups has been that of finding to
what extent an inverse semigroup is determined by its lattice of inverse subsemigroups. In …

An inverse semigroup R is said to be reduced (or proper) if ℛ∩ σ= i (where σ is the minimum
group congruence on R). McAlister has shown ([3],[4]) that every reduced inverse semigroup …

In this note it is shown that if S is a free inverse semigroup of rank at least two and if e, f are
idempotents of S such that e> f then S can be embedded in the partial semigroup eSe/fSf …

We show that every inverse semigroup is an idempotent separating homomorphic image of
a convex inverse subsemigroup of a P-semigroup P (G, L, L), where G acts transitively on L …