Abelian kernels, solvable monoids and the abelian kernel length of a finite monoid

M Delgado; VH Fernandes

doi:10.1142/9789812702616_0005

Abelian kernels, solvable monoids and the abelian kernel length of a finite monoid

M Delgado, VH Fernandes

DM - Departamento de Matemática

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

Abstract

The notion of abelian kernel of a finite monoid extends the notion of derived subgroup of a finite group. Extensions to finite monoids of the notions of solvable group and derived length of a solvable group appear then naturally. In this paper we study these notions for some classes of finite monoids.

Original language	English
Title of host publication	SEMIGROUPS AND LANGUAGES
Editors	I. M. Araújo, M. J. J. Branco, V. H. Fernandes, G. M. S. Gomes
Publisher	World Scientific Publishing Co. Pte Ltd
Pages	68-85
ISBN (Print)	981-238-917-2
DOIs	https://doi.org/10.1142/9789812702616_0005
Publication status	Published - 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

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10.1142/9789812702616_0005

Cite this

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title = "Abelian kernels, solvable monoids and the abelian kernel length of a finite monoid",

abstract = "The notion of abelian kernel of a finite monoid extends the notion of derived subgroup of a finite group. Extensions to finite monoids of the notions of solvable group and derived length of a solvable group appear then naturally. In this paper we study these notions for some classes of finite monoids.",

author = "M Delgado and VH Fernandes",

year = "2004",

doi = "10.1142/9789812702616\_0005",

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booktitle = "SEMIGROUPS AND LANGUAGES",

publisher = "World Scientific Publishing Co. Pte Ltd",

address = "Singapore",

note = "Workshop on Semigroups and Languages ; Conference date: 27-11-2002 Through 29-11-2002",

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T1 - Abelian kernels, solvable monoids and the abelian kernel length of a finite monoid

AU - Delgado, M

AU - Fernandes, VH

PY - 2004

Y1 - 2004

N2 - The notion of abelian kernel of a finite monoid extends the notion of derived subgroup of a finite group. Extensions to finite monoids of the notions of solvable group and derived length of a solvable group appear then naturally. In this paper we study these notions for some classes of finite monoids.

AB - The notion of abelian kernel of a finite monoid extends the notion of derived subgroup of a finite group. Extensions to finite monoids of the notions of solvable group and derived length of a solvable group appear then naturally. In this paper we study these notions for some classes of finite monoids.

U2 - 10.1142/9789812702616_0005

DO - 10.1142/9789812702616_0005

M3 - Chapter

SN - 981-238-917-2

SP - 68

EP - 85

BT - SEMIGROUPS AND LANGUAGES

A2 - Araújo, I. M.

A2 - Branco, M. J. J.

A2 - Fernandes, V. H.

A2 - Gomes, G. M. S.

PB - World Scientific Publishing Co. Pte Ltd

T2 - Workshop on Semigroups and Languages

Y2 - 27 November 2002 through 29 November 2002

ER -

Abelian kernels, solvable monoids and the abelian kernel length of a finite monoid

Abstract

Workshop

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