%0 Journal Article %T Isolated and nilpotent subsemigroups in the variants of $\IS$ %A G. Y. Tsyaputa %J Mathematics %D 2005 %I arXiv %X All isolated, completely isolated, and nilpotent subsemigroups in the semigroup $\IS$ of all injective partial transformations of an $n$-element set, considered as a semigroup with a sandwich multiplication are described. %U http://arxiv.org/abs/math/0508387v1