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

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

2005-08-20

arxiv.org/abs/math/0508387v1

Algebra and Discrete Mathematics, Number 1, (2006), 89-97

Mathematics

Rings and Algebras

10 pages

Scientific paper

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.

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