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On finite generation and other finiteness conditions for wreath products of semigroups

Research output: Other contribution

DOI

Standard

On finite generation and other finiteness conditions for wreath products of semigroups. / Robertson, Edmund Frederick; Ruskuc, Nikola; Thomson, MR.

2002.

Research output: Other contribution

Harvard

Robertson, EF, Ruskuc, N & Thomson, MR 2002, On finite generation and other finiteness conditions for wreath products of semigroups.. https://doi.org/10.1081/AGB-120005823

APA

Robertson, E. F., Ruskuc, N., & Thomson, MR. (2002). On finite generation and other finiteness conditions for wreath products of semigroups. https://doi.org/10.1081/AGB-120005823

Vancouver

Robertson EF, Ruskuc N, Thomson MR. On finite generation and other finiteness conditions for wreath products of semigroups. 2002. https://doi.org/10.1081/AGB-120005823

Author

Robertson, Edmund Frederick ; Ruskuc, Nikola ; Thomson, MR. / On finite generation and other finiteness conditions for wreath products of semigroups. 2002.

Bibtex - Download

@misc{5e8992d962e346878fabaaadaf53104b,
title = "On finite generation and other finiteness conditions for wreath products of semigroups",
abstract = "The purpose of the paper is to investigate finite generation and some other basic finiteness conditions for (restricted) wreath products of semigroups (with respect to an idempotent e). The main result is that such a wreath product S(e)wrT, with T finite, is finitely generated if and only if S-2 = S, T-2 = T, S is finitely generated and either S x S is a finitely gene-rated S-act, or else every element of T belongs to the principal right ideal of a right identity. Further results are obtained for the case where T is infinite, and also for finite presentability, periodicity and local finiteness.",
keywords = "MONOIDS",
author = "Robertson, {Edmund Frederick} and Nikola Ruskuc and MR Thomson",
note = "Comm Algebra",
year = "2002",
doi = "10.1081/AGB-120005823",
language = "English",
volume = "30",
type = "Other",

}

RIS (suitable for import to EndNote) - Download

TY - GEN

T1 - On finite generation and other finiteness conditions for wreath products of semigroups

AU - Robertson, Edmund Frederick

AU - Ruskuc, Nikola

AU - Thomson, MR

N1 - Comm Algebra

PY - 2002

Y1 - 2002

N2 - The purpose of the paper is to investigate finite generation and some other basic finiteness conditions for (restricted) wreath products of semigroups (with respect to an idempotent e). The main result is that such a wreath product S(e)wrT, with T finite, is finitely generated if and only if S-2 = S, T-2 = T, S is finitely generated and either S x S is a finitely gene-rated S-act, or else every element of T belongs to the principal right ideal of a right identity. Further results are obtained for the case where T is infinite, and also for finite presentability, periodicity and local finiteness.

AB - The purpose of the paper is to investigate finite generation and some other basic finiteness conditions for (restricted) wreath products of semigroups (with respect to an idempotent e). The main result is that such a wreath product S(e)wrT, with T finite, is finitely generated if and only if S-2 = S, T-2 = T, S is finitely generated and either S x S is a finitely gene-rated S-act, or else every element of T belongs to the principal right ideal of a right identity. Further results are obtained for the case where T is infinite, and also for finite presentability, periodicity and local finiteness.

KW - MONOIDS

UR - http://www.scopus.com/inward/record.url?scp=0035982304&partnerID=8YFLogxK

U2 - 10.1081/AGB-120005823

DO - 10.1081/AGB-120005823

M3 - Other contribution

VL - 30

ER -

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ID: 179831

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