Semigroups of cosets of semigroups: variations on a Dubreil theme
Boris M. Schein · RACO (Revistes Catalanes amb Accés Obert) (Consorci de Serveis Universitaris de Catalunya) · 1995
To the memory of Paul Dubreil, whose pioneering work in semigroups was an inspiration for me from my student years In his seminal article of 1941, Paul Dubreil introduced complexes forts of semigroups. Strong subsets of a semigroup S form another semigroup under a natural multiplication. Properties of this semigroup are studied and some open problems raised (specially when S is a group or an inverse semigroup). Also, a simple proof of a known result is given: every inverse semigroup can be isomorphically embedded in the semigroup of cosets of a group.