@article{cf4dd3f6c2394a59bf6f2333b5c60283,
title = "On the number of nilpotents in the partial symmetric semigroup",
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.",
keywords = "Generalized Laguerre polynomials, Idempotent, Lah numbers, Nilpotent, Partial symmetric semigroup, Semigroup, Stirling numbers, Symmetric inverse semigroup, Symmetric semigroup",
author = "A. Laradji and A. Umar",
note = "Funding Information: The authors gratefully acknowledge the support of King Fahd University of Petroleum and Minerals. They also thank the referee and David Easdown for their helpful suggestions.",
year = "2004",
doi = "10.1081/AGB-120038637",
language = "English",
volume = "32",
pages = "3017--3023",
journal = "Communications in Algebra",
issn = "0092-7872",
publisher = "Taylor and Francis Ltd.",
number = "8",
}