Isolated and nilpotent subsemigroups in the variants of \(\mathcal{IS}_n\)

Galyna Tsyaputa

Abstract


All isolated, completely isolated, and nilpotent subsemigroups in the semigroup \(\mathcal {IS}_n\) of all injective partial transformations of an \(n\)-element set, considered as a semigroup with a sandwich multiplication are described.


Keywords


Inverse symmetric semigroup, variants of a semigroup, sandwich semigroup, isolated subsemigroups, nilpotent subsemigroups

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