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FINITE PRESENTABILITY OF BRUCK–REILLY EXTENSIONS OF CLIFFORD MONOIDS

C. A. CARVALHO

Department of Computer Science, Durham University, South Road, Durham DH1 3LE, UK

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and

N. RUSKUC

School of Mathematics and Statistics, University of St Andrews, St Andrews KY16 9SS, UK

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https://doi.org/10.1142/S0219498807002508Cited by:3 (Source: Crossref)

Abstract

Let M be a Clifford monoid and let θ be an endomorphism of M. We prove that if the Bruck–Reilly extension BR(M, θ) is finitely presented then M is finitely generated. This allows us to derive necessary and sufficient conditions for Bruck–Reilly extensions of Clifford monoids to be finitely presented.

Keywords:

AMSC: 20M05

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