Combinatorics of nilpotents in symmetric inverse semigroups

DOI10.1007/S00026-004-0213-7zbMath1052.05008OpenAlexW2108422014MaRDI QIDQ1881054

Olexandr Ganyushkin, Volodymyr Mazorchuk

Publication date: 27 September 2004

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00026-004-0213-7

zbMATH Keywords

Stirling numbersnilpotent elementBell numberscardinalitybinomial coefficientsLah numbersCatalan numberssymmetric inverse semigroup

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Semigroups of transformations, relations, partitions, etc. (20M20) Inverse semigroups (20M18)

Related Items (4)

Fixed points of order-preserving transformations ⋮ Quasi-idempotent ranks of the proper ideals in finite symmetric inverse semigroups ⋮ Unnamed Item ⋮ Combinatorial results for semigroups of order-preserving or order-reversing subpermutations

This page was built for publication: Combinatorics of nilpotents in symmetric inverse semigroups