Algebra in superextensions of inverse semigroups

preprint2012arXivOpen access

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

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Algebra in superextensions of inverse semigroups

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