Two generalisations of the symmetric inverse semigroups
Ganna Kudryavtseva, Victor Maltcev · Publicationes Mathematicae Debrecen · 2011
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 I X .Binary operations on PI * X and PI * X are reminiscent of the multiplication in I X .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 I X and I * X .