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math.GR2009★ 1 cited
Semitransitive subsemigroups of the singular part of the finite symmetric inverse semigroup
Karin Cvetko-Vah, Damjana Kokol Bukovšek, Tomaž Košir +1
We prove that the minimal cardinality of the semitransitive subsemigroup in the singular part $\IS_n\setminus §_n$ of the symmetric inverse semigroup $\IS_n$ is , where …
math.GR2007★ 4 cited
Semitransitive and transitive subsemigroups of the inverse symmetric semigroups
Karin Cvetko-Vah, Damjana Kokol Bukovšek, Tomaž Košir +3
We classify minimal transitive subsemigroups of the finitary inverse symmetric semigroup modulo the classification of minimal transitive subgroups of finite symmetric groups; and s…