On the number of nilpotents in the partial symmetric semigroup

A. Laradji, A. Umar

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

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
Volume32
Issue number8
DOIs
Publication statusPublished - 2004

Fingerprint

Semigroup
Partial
Finite Set

Keywords

  • 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

Cite this

On the number of nilpotents in the partial symmetric semigroup. / Laradji, A.; Umar, A.

In: Communications in Algebra, Vol. 32, No. 8, 2004, p. 3017-3023.

Research output: Contribution to journalArticle

Laradji, A. ; Umar, A. / On the number of nilpotents in the partial symmetric semigroup. In: Communications in Algebra. 2004 ; Vol. 32, No. 8. pp. 3017-3023.
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