Algebra in superextensions of inverse semigroups

Taras Banakh, Volodymyr Gavrylkiv

Abstract


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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