Semitransitive and transitive subsemigroups of the inverse symmetric semigroups

摘要

We classify minimal transitive subsemigroups of the finitary inversesymmetric semigroup modulo the classification of minimal transitive subgroupsof finite symmetric groups; and semitransitive subsemigroups of the finiteinverse symmetric semigroup of the minimal cardinality modulo theclassification of transitive subgroups of the minimal cardinality of finitesymmetric groups.