Isolated and nilpotent subsemigroups in the variants of $\IS$

Abstract

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.

10 pages

References in corpus (2)

• Transformation Semigroups with the Deformed Multiplication
• Isolated subsemigroups in the variants of T_n