On finite presentability of Bruck-Reilly extensions of a monoid with respect to an endomorphism and its powers

C. A. Carvalho; N. Ruskuc

On finite presentability of Bruck-Reilly extensions of a monoid with respect to an endomorphism and its powers

C. A. Carvalho, N. Ruskuc

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

Abstract

Let M be a monoid and let theta be an endomorphism of M. We prove that if the Bruck-Reilly extension BR(M, theta) is finitely presented, then the Bruck-Reilly extension BR(M, theta(m)) is also finitely presented for all m >= 1.

Original language	English
Pages (from-to)	389-402
Number of pages	14
Journal	Algebra Colloquium
Volume	14
Publication status	Published - Sept 2007

Keywords

monoid
morphism
presentation
generators
PRESENTATIONS

Cite this

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title = "On finite presentability of Bruck-Reilly extensions of a monoid with respect to an endomorphism and its powers",

abstract = "Let M be a monoid and let theta be an endomorphism of M. We prove that if the Bruck-Reilly extension BR(M, theta) is finitely presented, then the Bruck-Reilly extension BR(M, theta(m)) is also finitely presented for all m >= 1.",

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author = "Carvalho, {C. A.} and N. Ruskuc",

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AB - Let M be a monoid and let theta be an endomorphism of M. We prove that if the Bruck-Reilly extension BR(M, theta) is finitely presented, then the Bruck-Reilly extension BR(M, theta(m)) is also finitely presented for all m >= 1.

KW - monoid

KW - morphism

KW - presentation

KW - generators

KW - PRESENTATIONS

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M3 - Article

SN - 1005-3867

VL - 14

SP - 389

EP - 402

JO - Algebra Colloquium

JF - Algebra Colloquium

ER -

On finite presentability of Bruck-Reilly extensions of a monoid with respect to an endomorphism and its powers

Abstract

Keywords

Other files and links

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

Cite this

On finite presentability of Bruck-Reilly extensions of a monoid with respect to an endomorphism and its powers

Abstract

Keywords

Other files and links

Fingerprint

Projects

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

Cite this