Near permutation semigroups

Jorge Manuel Leocádio André

Near permutation semigroups

Jorge Manuel Leocádio André

DM - Departamento de Matemática

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

38 Downloads (Pure)

Abstract

A transformation semigroup over a set X with N elements is said to be a near permutation semigroup if it is generated by a group of permutations on N elements and by a set of transformations of rank N −1. In this paper we make a summary of the author’s thesis, in which are exhibited ways of checking whether those specific transformation semigroups belong to various structural classes of semigroups, just by analysis of the generators and without first having to generate them.

Original language	English
Title of host publication	Semigroups and Languages: Proceedings of the Workshop
Editors	Isabel M. Araújo, Mário J. J. Branco, Vítor H. Fernandes, Gracinda M. S. Gomes
Place of Publication	Lisbon
Publisher	World Scientific
Pages	43-53
ISBN (Print)	981-238-917-2
Publication status	Published - Jul 2004
Event	Workshop on Semigroups and Languages - Universidade de Lisboa, Lisbon, Portugal Duration: 27 Nov 2002 → 29 Nov 2002

Workshop

Workshop	Workshop on Semigroups and Languages
Country/Territory	Portugal
City	Lisbon
Period	27/11/02 → 29/11/02

Access to Document

artigo2NNproceedings.pdfProof, 140 KB

Cite this

@inproceedings{3d0c9c02494b46459224ca7e24484cb4,

title = "Near permutation semigroups",

abstract = "A transformation semigroup over a set X with N elements is said to be a near permutation semigroup if it is generated by a group of permutations on N elements and by a set of transformations of rank N −1. In this paper we make a summary of the author{\textquoteright}s thesis, in which are exhibited ways of checking whether those specific transformation semigroups belong to various structural classes of semigroups, just by analysis of the generators and without first having to generate them.",

author = "Andr{\'e}, {Jorge Manuel Leoc{\'a}dio}",

note = "Work partially supported by the Sub-programa Ci{\^e}ncia e Tecnologia do 2o Quadro Comunit{\'a}rio de Apoio (grant number BD/18012/98) and project POCTI/32440/MAT/2000 (CAUL) of FCT and FEDER.; Workshop on Semigroups and Languages ; Conference date: 27-11-2002 Through 29-11-2002",

year = "2004",

month = jul,

language = "English",

isbn = "981-238-917-2",

pages = "43--53",

editor = "Ara{\'u}jo, {Isabel M.} and Branco, {M{\'a}rio J. J.} and Fernandes, {V{\'i}tor H. } and Gomes, {Gracinda M. S. }",

booktitle = "Semigroups and Languages: Proceedings of the Workshop",

publisher = "World Scientific",

address = "Singapore",

}

TY - GEN

T1 - Near permutation semigroups

AU - André, Jorge Manuel Leocádio

N1 - Work partially supported by the Sub-programa Ciência e Tecnologia do 2o Quadro Comunitário de Apoio (grant number BD/18012/98) and project POCTI/32440/MAT/2000 (CAUL) of FCT and FEDER.

PY - 2004/7

Y1 - 2004/7

N2 - A transformation semigroup over a set X with N elements is said to be a near permutation semigroup if it is generated by a group of permutations on N elements and by a set of transformations of rank N −1. In this paper we make a summary of the author’s thesis, in which are exhibited ways of checking whether those specific transformation semigroups belong to various structural classes of semigroups, just by analysis of the generators and without first having to generate them.

AB - A transformation semigroup over a set X with N elements is said to be a near permutation semigroup if it is generated by a group of permutations on N elements and by a set of transformations of rank N −1. In this paper we make a summary of the author’s thesis, in which are exhibited ways of checking whether those specific transformation semigroups belong to various structural classes of semigroups, just by analysis of the generators and without first having to generate them.

UR - https://doi.org/10.1142/5584

M3 - Conference contribution

SN - 981-238-917-2

SP - 43

EP - 53

BT - Semigroups and Languages: Proceedings of the Workshop

A2 - Araújo, Isabel M.

A2 - Branco, Mário J. J.

A2 - Fernandes, Vítor H.

A2 - Gomes, Gracinda M. S.

PB - World Scientific

CY - Lisbon

T2 - Workshop on Semigroups and Languages

Y2 - 27 November 2002 through 29 November 2002

ER -

Near permutation semigroups

Abstract

Workshop

Access to Document

Other files and links

Fingerprint

Cite this