On the number of nilpotents in the partial symmetric semigroup

A. Laradji*, A. Umar

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Citations (SciVal)


In this note, we obtain and discuss formulae for the total number of nilpotent partial and nilpotent partial one-one transformations of a finite set.

Original languageEnglish
Pages (from-to)3017-3023
Number of pages7
JournalCommunications in Algebra
Issue number8
Publication statusPublished - 2004
Externally publishedYes


  • Generalized Laguerre polynomials
  • Idempotent
  • Lah numbers
  • Nilpotent
  • Partial symmetric semigroup
  • Semigroup
  • Stirling numbers
  • Symmetric inverse semigroup
  • Symmetric semigroup

ASJC Scopus subject areas

  • Algebra and Number Theory


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