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.

Catarina Carvalho
, Nik Ruskuc

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

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

Access to Document

10.1142/S1005386707000363

Cite this

@article{4d053e44f26f4e1db2ddb367c6003c86,

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",

month = sep,

doi = "10.1142/S1005386707000363",

language = "English",

volume = "14",

pages = "389--402",

journal = "Algebra Colloquium",

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

number = "3",

}

TY - JOUR

T1 - On finite presentability of Bruck-Reilly extensions of a monoid with respect to an endomorphism and its powers.

AU - Carvalho, Catarina

AU - Ruskuc, Nik

PY - 2007/9

Y1 - 2007/9

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

Access to Document

Fingerprint

Cite this