Two generalisations of the symmetric inverse semigroups
نویسندگان
چکیده
We introduce two generalisations of the full symmetric inverse 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 . 2000 Mathematics Subject Classification: 20M10, 20M20.
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