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arXiv · 0902.1470

Semitransitive subsemigroups of the singular part of the finite symmetric inverse semigroup

Karin Cvetko-Vah·Damjana Kokol Bukovšek·Tomaž Košir·Ganna Kudryavtseva
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Abstract

We prove that the minimal cardinality of the semitransitive subsemigroup in the singular part $\IS_n\setminus \S_n$ of the symmetric inverse semigroup $\IS_n$ is $2n-p+1$, where $p$ is the greatest proper divisor of $n$, and classify all semitransitive subsemigroups of this minimal cardinality.

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Karin Cvetko-Vah, Damjana Kokol Bukovšek, Tomaž Košir, Ganna Kudryavtseva. 2009-02-09. Semitransitive subsemigroups of the singular part of the finite symmetric inverse semigroup. https://doi.org/10.1007/s10474-011-0071-9

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