Resumen de Two generalisations of the symmetric inverse semigroups

Ganna Kudryavtseva, Victor Maltcev

• We study two generalisations of the full inverse symmetric semigroup IX and its dual semigroup I X � inverse semigroups PI X and PI X. Both of them have the same carrier and contain IX. Binary operations on PI X and PI X are reminiscent of the multiplication in IX. We use a convenient geometric way to realise elements from these two semigroups. This enables us to study efficiently their inner properties and to compare them with the corresponding properties of IX and I X.