Finite presentability of Bruck-Reilly extensions of semilattices

C. A. Carvalho; N. Ruskuc

doi:10.1080/00927870600778563

Finite presentability of Bruck-Reilly extensions of semilattices

C. A. Carvalho, N. Ruskuc

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

Abstract

Let Y be a semilattice with an identity element, and let theta be an endomorphism of Y. We prove that if the Bruck-Reilly extension BR(Y,theta) is finitely presented, then Y is finite.

Original language	English
Pages (from-to)	3301-3313
Number of pages	13
Journal	Communications in Algebra
Volume	34
Issue number	9
DOIs	https://doi.org/10.1080/00927870600778563
Publication status	Published - 2006

Keywords

generators
monoid
presentation
semilattice
PRESENTATIONS
MONOIDS

Access to Document

10.1080/00927870600778563

Cite this

@article{10df94963bbf4e489cd9365901a98bbf,

title = "Finite presentability of Bruck-Reilly extensions of semilattices",

abstract = "Let Y be a semilattice with an identity element, and let theta be an endomorphism of Y. We prove that if the Bruck-Reilly extension BR(Y,theta) is finitely presented, then Y is finite.",

keywords = "generators, monoid, presentation, semilattice, PRESENTATIONS, MONOIDS",

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

year = "2006",

doi = "10.1080/00927870600778563",

language = "English",

volume = "34",

pages = "3301--3313",

journal = "Communications in Algebra",

issn = "0092-7872",

publisher = "Taylor & Francis",

number = "9",

}

TY - JOUR

T1 - Finite presentability of Bruck-Reilly extensions of semilattices

AU - Carvalho, C. A.

AU - Ruskuc, N.

PY - 2006

Y1 - 2006

N2 - Let Y be a semilattice with an identity element, and let theta be an endomorphism of Y. We prove that if the Bruck-Reilly extension BR(Y,theta) is finitely presented, then Y is finite.

AB - Let Y be a semilattice with an identity element, and let theta be an endomorphism of Y. We prove that if the Bruck-Reilly extension BR(Y,theta) is finitely presented, then Y is finite.

KW - generators

KW - monoid

KW - presentation

KW - semilattice

KW - PRESENTATIONS

KW - MONOIDS

UR - http://www.scopus.com/inward/record.url?scp=33748805462&partnerID=8YFLogxK

U2 - 10.1080/00927870600778563

DO - 10.1080/00927870600778563

M3 - Article

SN - 0092-7872

VL - 34

SP - 3301

EP - 3313

JO - Communications in Algebra

JF - Communications in Algebra

IS - 9

ER -

Finite presentability of Bruck-Reilly extensions of semilattices

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

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

Cite this

Finite presentability of Bruck-Reilly extensions of semilattices

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Projects

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

Cite this