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 …

Partial actions and an embedding theorem for inverse semigroups | SpringerLink Skip to main
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We examine an inverse semigroup T in terms of the universal locally constant covering of its
classifying topos. In particular, we prove that the fundamental group of coincides with the …

Let S be an inverse semigroup with semilattice of idempotents E. We denote by σ the
minimum group congruence on S (6), and by τ the maximum idempotent-determined …

Adapting the theory of the derived category to ordered groupoids, we prove that every
ordered functor (and thus every inverse and regular semigroup homomorphism) factors as …

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 …

We show how the correspondence between inverse semigroups and inductive groupoids (a
class of ordered groupoids) leads to a reinterpretation of McAlister's P-Theorem as a …

For any inverse semigroup S we construct an inverse semigroup S (S), which has the
following universal property with respect to dual prehomomorphisms from S: there is an …

ON SOME EMBEDDING THEOREMS FOR INVERSE SEMIGROUPS Page 1 PROCEEDINGS
OF THE AMERICAN MATHEMATICAL SOCIETY Volume 83, Number 1, September 1981 ON …