| Affiliation: | (1) Department of Mechanics and Mathematics, Kyiv Taras Shevchenko University, 64, Volodymyrska St., 01033 Kyiv, Ukraine;(2) Department of Mathematics, Uppsala University, Box 480, 751 06 Uppsala, Sweden |
| Abstract: | We show how several famous combinatorial sequences appear in the context of nilpotentelements of the full symmetric inverse semigroup  . These sequences appear either ascardinalities of certain nilpotent subsemigroups or as the numbers of special nilpotent elementsand include the Lah numbers, the Bell numbers, the Stirling numbers of the second kind, thebinomial coefficients and the Catalan numbers.AMS Subject Classification: 05A15, 20M18, 20M20, 05A19. |
