Geodesic
Algebra in superextensions of inverse semigroups
Algebra and discrete mathematics, Tome 13 (2012) no. 2, pp. 147-168.

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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.
Keywords: inverse semigroup, regular semigroup, Clifford semigroup, superextension, semigroup of filters. 
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Taras Banakh; Volodymyr Gavrylkiv. Algebra in superextensions of inverse semigroups. Algebra and discrete mathematics, Tome 13 (2012) no. 2, pp. 147-168. http://geodesic.mathdoc.fr/item/ADM_2012_13_2_a2/

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