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 …

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 …

A congruence $\rho $ on an inverse semigroup $ S $ is determined uniquely by its kernel
and its trace. Denoting by ${\rho^{\min}} $ and ${\rho _ {\min}} $ the least congruence on $ S …

An inverse semigroup S is called E-unitary if the equations ea= e= e2 together imply a2= a.
In a previous paper the author showed that every inverse semigroup is an idempotent …

y-DEMI-GROUPES, DEMI-MODULES, PRGDUITS DEMI-DIRECTS A, BATBEDAT
INTRODUCTION Page 1 y-DEMI-GROUPES, DEMI-MODULES, PRGDUITS DEMI-DIRECTS A …

By an E-unitary inverse semigroup we mean an inverse semigroup in which the semilattice
is a unitary subset. Such semigroups, elsewhere called 'proper'or 'reduced'inverse …

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 …

Let S be an inverse semigroup with semilattice of idempotents E, and let ρ be a congruence
on S. Then ρ is said to be idempotent-determined [2], or ID for short, if (a, b)∈ р and a∈ E …

In a recent paper (13), we introduced the class of strongly E-reflexive inversesemigroups.
This class was shown to coincide with the class of those inverse semigroups which are …

Normal-convex embeddings are introduced for inverse semigroups, generalizing the group-
theoretic concept, due to Papakyriakopoulos [4]. It is shown that every E-unitary inverse …