Special subgroups of regular semigroups

Orador: Thomas S. Blyth (University of St Andrews, UK)

Dia e hora: 06/12/2016, terça feira, às 14h

Local: Sala de seminários, Ed. VII, FCT-UNL


Extending the notions of inverse transversal and associate subgroup, we investigate regular semigroups in which there exists a subsemigroup which contains, for each element $x$, a unique element $y$ such that both $xy$ and $yx$ are idempotent. Such a subsemigroup is necessarily a subgroup which we call 'special'.