Algebra in superextensions of inverse semigroups

Algebra Discr. Math. 13:2 (2012) 147-168 We find necessary and sufficient conditions on an (inverse) semigroup $X$ under which its semigroups of maximal linked systems $\lambda(X)$, filters $\phi(X)$, linked upfamilies $N_2(X)$, and upfamilies $\upsilon(X)$ are inverse.

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Hauptverfasser: Banakh, Taras, Gavrylkiv, Volodymyr
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Sprache:eng
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Zusammenfassung:Algebra Discr. Math. 13:2 (2012) 147-168 We find necessary and sufficient conditions on an (inverse) semigroup $X$ under which its semigroups of maximal linked systems $\lambda(X)$, filters $\phi(X)$, linked upfamilies $N_2(X)$, and upfamilies $\upsilon(X)$ are inverse.
DOI:10.48550/arxiv.1109.1064