Two generalisations of the symmetric inverse semigroups

• Autores: Ganna Kudryavtseva, Victor Maltcev
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 78, Fasc. 2, 2011, págs. 253-282
• Idioma: inglés
• DOI: 10.5486/pmd.2011.4375
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• Resumen

  • 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.