On the number of nilpotents in the partial symmetric semigroup

A. Laradji; A. Umar

doi:10.1081/AGB-120038637

On the number of nilpotents in the partial symmetric semigroup

A. Laradji^*, A. Umar

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

13 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 language	English
Pages (from-to)	3017-3023
Number of pages	7
Journal	Communications in Algebra
Volume	32
Issue number	8
DOIs	https://doi.org/10.1081/AGB-120038637
Publication status	Published - 2004
Externally published	Yes

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

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10.1081/AGB-120038637

Cite this

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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",

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pages = "3017--3023",

journal = "Communications in Algebra",

issn = "0092-7872",

publisher = "Taylor and Francis Ltd.",

number = "8",

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T1 - On the number of nilpotents in the partial symmetric semigroup

AU - Laradji, A.

AU - Umar, A.

N1 - 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.

PY - 2004

Y1 - 2004

N2 - 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.

AB - 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.

KW - Generalized Laguerre polynomials

KW - Idempotent

KW - Lah numbers

KW - Nilpotent

KW - Partial symmetric semigroup

KW - Semigroup

KW - Stirling numbers

KW - Symmetric inverse semigroup

KW - Symmetric semigroup

UR - http://www.scopus.com/inward/record.url?scp=22744452934&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=22744452934&partnerID=8YFLogxK

U2 - 10.1081/AGB-120038637

DO - 10.1081/AGB-120038637

M3 - Article

AN - SCOPUS:22744452934

SN - 0092-7872

VL - 32

SP - 3017

EP - 3023

JO - Communications in Algebra

JF - Communications in Algebra

IS - 8

ER -

On the number of nilpotents in the partial symmetric semigroup

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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