Skip to main content
SpringerLink
Log in

Combinatorics of Nilpotents in Symmetric Inverse Semigroups

  • Original Paper
  • Published:
Annals of Combinatorics Aims and scope Submit manuscript

Abstract

We show how several famous combinatorial sequences appear in the context of nilpotent elements of the full symmetric inverse semigroup \( I \mathcal{S}_n \). These sequences appear either as cardinalities of certain nilpotent subsemigroups or as the numbers of special nilpotent elements and include the Lah numbers, the Bell numbers, the Stirling numbers of the second kind, the binomial coefficients and the Catalan numbers.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Department of Mechanics and Mathematics, Kyiv Taras Shevchenko University, 64, Volodymyrska St., 01033, Kyiv, Ukraine

    Olexandr Ganyushkin

  2. Department of Mathematics, Uppsala University, Box 480, 751 06, Uppsala, Sweden

    Volodymyr Mazorchuk

Authors
  1. Olexandr Ganyushkin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Volodymyr Mazorchuk
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to Olexandr Ganyushkin or Volodymyr Mazorchuk.

Additional information

AMS Subject Classification: 05A15, 20M18, 20M20, 05A19.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ganyushkin, O., Mazorchuk, V. Combinatorics of Nilpotents in Symmetric Inverse Semigroups. Ann. Combin. 8, 161–175 (2004). https://doi.org/10.1007/s00026-004-0213-7

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00026-004-0213-7

Search

Navigation