On relative ranks of finite transformation semigroups with restricted range
Ilinka Dimitrova, Jörg Koppitz · Ukrains’kyi Matematychnyi Zhurnal · 2021
UDC 512.5 We determine the relative rank of the semigroup of all transformations on a finite chain with restricted range modulo the set of all orientation-preserving transformations in Moreover, we state the relative rank of the semigroup modulo the set of all order-preserving transformations in In both cases we characterize the minimal relative generating sets.