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

Catarina Carvalho; Nik Ruskuc

doi:10.1142/S1005386707000363

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

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Abstract

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

Original language	English
Pages (from-to)	389-402
Journal	Algebra Colloquium
Volume	14
Issue number	3
DOIs	https://doi.org/10.1142/S1005386707000363
Publication status	Published - Sept 2007

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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 θ be an endomorphism of M. We prove that if the Bruck–Reilly extension BR(M, θ) is finitely presented, then the Bruck–Reilly extension BR(M, θm) is also finitely presented for all m ⩾ 1",

author = "Catarina Carvalho and Nik Ruskuc",

year = "2007",

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AU - Carvalho, Catarina

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N2 - Let M be a monoid and let θ be an endomorphism of M. We prove that if the Bruck–Reilly extension BR(M, θ) is finitely presented, then the Bruck–Reilly extension BR(M, θm) is also finitely presented for all m ⩾ 1

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

U2 - 10.1142/S1005386707000363

DO - 10.1142/S1005386707000363

M3 - Article

VL - 14

SP - 389

EP - 402

JO - Algebra Colloquium

JF - Algebra Colloquium

IS - 3

ER -

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

Abstract

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