Isolated and nilpotent subsemigroups in the variants of \(\mathcal{IS}_n\)
Galyna Tsyaputa · Algebra and Discrete Mathematics · 2018
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.