Algebra in superextensions of inverse semigroups

We find necessary and sufficient conditions on an (inverse) semigroup \(X\) under which its semigroups of maximal  linked  systems  \(\lambda(X)\), filters \(\varphi(X)\), linked upfamilies \(N_2(X)\), and upfamilies \(\upsilon(X)\) are inverse.

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Bibliographische Detailangaben
Datum:2018
Hauptverfasser: Banakh, Taras, Gavrylkiv, Volodymyr
Format: Artikel
Sprache:English
Veröffentlicht: Lugansk National Taras Shevchenko University 2018
Schlagworte:
Online Zugang:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/699
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Назва журналу:Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics
Beschreibung
Zusammenfassung:We find necessary and sufficient conditions on an (inverse) semigroup \(X\) under which its semigroups of maximal  linked  systems  \(\lambda(X)\), filters \(\varphi(X)\), linked upfamilies \(N_2(X)\), and upfamilies \(\upsilon(X)\) are inverse.