On finite generation and presentability of Schutzenberger products

Peter Gallagher; Nik Ruskuc

doi:10.1017/S1446788700037976

On finite generation and presentability of Schutzenberger products

Peter Gallagher, Nik Ruskuc

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

Abstract

The finite generation and presentation of Schutzenberger products of semigroups are investigated. A general necessary and sufficient condition is established for finite generation. The Schutzenberger product of two groups is finitely presented as an inverse semigroup if and only if the groups are finitely presented, but is not finitely presented as a semigroup unless both groups are finite.

Original language	English
Pages (from-to)	357-367
Number of pages	11
Journal	Journal of the Australian Mathematical Society
Volume	83
Issue number	3
DOIs	https://doi.org/10.1017/S1446788700037976
Publication status	Published - Dec 2007

Keywords

FREE INVERSE-SEMIGROUPS
MONOIDS

Access to Document

10.1017/S1446788700037976

Cite this

@article{19a0c1e1fddd4034a6766a0c1371ec0c,

title = "On finite generation and presentability of Schutzenberger products",

abstract = "The finite generation and presentation of Schutzenberger products of semigroups are investigated. A general necessary and sufficient condition is established for finite generation. The Schutzenberger product of two groups is finitely presented as an inverse semigroup if and only if the groups are finitely presented, but is not finitely presented as a semigroup unless both groups are finite.",

keywords = "FREE INVERSE-SEMIGROUPS, MONOIDS",

author = "Peter Gallagher and Nik Ruskuc",

year = "2007",

month = dec,

doi = "10.1017/S1446788700037976",

language = "English",

volume = "83",

pages = "357--367",

journal = "Journal of the Australian Mathematical Society",

issn = "1446-8107",

publisher = "Cambridge University Press",

number = "3",

}

TY - JOUR

T1 - On finite generation and presentability of Schutzenberger products

AU - Gallagher, Peter

AU - Ruskuc, Nik

PY - 2007/12

Y1 - 2007/12

N2 - The finite generation and presentation of Schutzenberger products of semigroups are investigated. A general necessary and sufficient condition is established for finite generation. The Schutzenberger product of two groups is finitely presented as an inverse semigroup if and only if the groups are finitely presented, but is not finitely presented as a semigroup unless both groups are finite.

AB - The finite generation and presentation of Schutzenberger products of semigroups are investigated. A general necessary and sufficient condition is established for finite generation. The Schutzenberger product of two groups is finitely presented as an inverse semigroup if and only if the groups are finitely presented, but is not finitely presented as a semigroup unless both groups are finite.

KW - FREE INVERSE-SEMIGROUPS

KW - MONOIDS

UR - http://www.scopus.com/inward/record.url?scp=44449128880&partnerID=8YFLogxK

UR - http://www.austms.org.au/Publ/JAustMS/V83P3/833-e64-GaRu/index.html

U2 - 10.1017/S1446788700037976

DO - 10.1017/S1446788700037976

M3 - Article

SN - 1446-8107

VL - 83

SP - 357

EP - 367

JO - Journal of the Australian Mathematical Society

JF - Journal of the Australian Mathematical Society

IS - 3

ER -

On finite generation and presentability of Schutzenberger products

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

EP/C523229/1: Multidisciplinary Critical Mass in Computational Algebra and Applications

Cite this

On finite generation and presentability of Schutzenberger products

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Projects

EP/C523229/1: Multidisciplinary Critical Mass in Computational Algebra and Applications

Cite this