A finitely presented monoid with a non-finitely generated group of units

CA Carvalho; Nikola Ruskuc

doi:10.1007/s00013-007-2138-y

A finitely presented monoid with a non-finitely generated group of units

CA Carvalho
, Nikola Ruskuc

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

Abstract

We exhibit an example of a monoid defined by finitely many generators and defining relations, the group of units of which is not finitely generated.

Original language	English
Pages (from-to)	109-113
Number of pages	5
Journal	Archiv der Mathematik
Volume	89
Issue number	2
DOIs	https://doi.org/10.1007/s00013-007-2138-y
Publication status	Published - Aug 2007

Keywords

monoid
group
unit
generators
defining relations
presentation
Bruck-Reilly extension
ALGEBRAIC MONOIDS
PRESENTATIONS

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10.1007/s00013-007-2138-y

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Cite this

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title = "A finitely presented monoid with a non-finitely generated group of units",

abstract = "We exhibit an example of a monoid defined by finitely many generators and defining relations, the group of units of which is not finitely generated.",

keywords = "monoid, group, unit, generators, defining relations, presentation, Bruck-Reilly extension, ALGEBRAIC MONOIDS, PRESENTATIONS",

author = "CA Carvalho and Nikola Ruskuc",

note = "Carvalho was a Ph.D. student of Ruskuc",

year = "2007",

month = aug,

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journal = "Archiv der Mathematik",

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AB - We exhibit an example of a monoid defined by finitely many generators and defining relations, the group of units of which is not finitely generated.

KW - monoid

KW - group

KW - unit

KW - generators

KW - defining relations

KW - presentation

KW - Bruck-Reilly extension

KW - ALGEBRAIC MONOIDS

KW - PRESENTATIONS

UR - https://www.scopus.com/pages/publications/34547907852

U2 - 10.1007/s00013-007-2138-y

DO - 10.1007/s00013-007-2138-y

M3 - Article

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EP - 113

JO - Archiv der Mathematik

JF - Archiv der Mathematik

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A finitely presented monoid with a non-finitely generated group of units

Abstract

Keywords

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

Cite this

A finitely presented monoid with a non-finitely generated group of units

Abstract

Keywords

Access to Document

Handle.net

Other files and links

Fingerprint

Projects

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

Cite this