References & Citations
Mathematics > Group Theory
Title: Correspondence between factorability and normalisation in monoids
(Submitted on 3 Jun 2022 (v1), last revised 23 May 2024 (this version, v2))
Abstract: 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.
Submission history
From: Alen Đurić [view email][v1] Fri, 3 Jun 2022 16:33:00 GMT (25kb)
[v2] Thu, 23 May 2024 16:51:11 GMT (27kb)
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