Automorphisms of normal partial transformation semigroups
Inessa Levi · Glasgow Mathematical Journal · 1987
We letXbe an arbitrary infinite set. A semigroupSof total or partial transformations ofXis called -normal ifhSh-1=S, for allhin , the symmetric group onX. For example, the full transformation semigroup , the semigroup of all partial transformations , the semigroup of all 1–1 partial transformations and all ideals of and are -normal.