Semidirect Products of Ordered Semigroups

Semidirect products of ordered semigroups

We introduce semidirect and wreath products of finite ordered semigroups and extend some standard decomposition results to this case.

Semidirect Products of Ordered Semigroups

Ordered categories and ordered semigroups

We use ordered categories to study semidirect decompositions of finite ordered semigroups. We obtain ordered analogues of the derived category theorem and of the delay theorem. Next we prove that the ordered analogues of semilattices and of J -trivial monoids constitute local varieties, and we derive some decomposition theorems from these results. In [10], Pin and Weil initiated a study of the ...

Semidirect Product Decompositions of Ordered Groupoids and Inverse Semigroups

Factorisability in certain classes over inverse semigroups

In the structure theory of inverse semigroups, there are two approaches, basically from the 1970’s, to build up inverse semigroups from semilattices and groups via their semidirect products. These approaches are dual to each other in the sense that one produces any inverse semigroup from a semidirect product of a semilattice by a group by taking an idempotent separating homomorphic image of an ...