Correspondence between factorability and normalisation in monoids

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Détails bibliographiques
Auteur principal:	Đurić, Alen
Format:	Preprint
Publié:	2022
Sujets:	Group Theory 20M05, 68Q42
Accès en ligne:	Acceder al recurso
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_version_	1866909444904845312
author	Đurić, Alen
author_facet	Đurić, Alen
contents	Abstract. This article determines relations between two notions concerning monoids: factorability structure, introduced to simplify the bar complex; and quadratic normalisation, introduced to generalise quadratic rewriting systems and normalisations arising from Garside families. Factorable monoids are characterised in the axiomatic setting of quadratic normalisations. Additionally, quadratic normalisations of class (4,3) are characterised in terms of factorability structures and a condition ensuring the termination of the associated rewriting system.
format	Preprint
id	arxiv_https___arxiv_org_abs_2206_01672
institution	arXiv
publishDate	2022
record_format	arxiv
spellingShingle	Correspondence between factorability and normalisation in monoids Đurić, Alen Group Theory 20M05, 68Q42 Abstract. This article determines relations between two notions concerning monoids: factorability structure, introduced to simplify the bar complex; and quadratic normalisation, introduced to generalise quadratic rewriting systems and normalisations arising from Garside families. Factorable monoids are characterised in the axiomatic setting of quadratic normalisations. Additionally, quadratic normalisations of class (4,3) are characterised in terms of factorability structures and a condition ensuring the termination of the associated rewriting system.
title	Correspondence between factorability and normalisation in monoids
topic	Group Theory 20M05, 68Q42
url	https://arxiv.org/abs/2206.01672

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