Multivariate Alexander quandles. V: Constructing the medial quandle of a link
type: Item
instance of: scholarly article
title: Multivariate Alexander quandles. V: Constructing the medial quandle of a link
author: L. Traldi
published in: Journal of Knot Theory and its Ramifications
publication date: 2024-10-30T00:00:00Z
review text: This paper is the fifth in a series by the author focusing on Alexander modules and quandles. It explores how the medial quandle of a classical or virtual link can be constructed using the peripheral structure of the reduced Alexander module, specifically leveraging the recently introduced module's peripheral elements. For knots, however, these peripheral elements play no role in the construction. Consequently, the author extends Joyce's result to virtual knots, showing that the medial quandle of a classical knot corresponds to the standard Alexander quandle on the Alexander invariant of the knot [\textit{D. Joyce}, J. Pure Appl. Algebra 23, 37--65 (1982; Zbl 0474.57003)].
reviewed by: Mahender Singh
Mathematics Subject Classification ID: 57K10
zbMATH DE Number: 7935795
zbMATH Keywords: Alexander module
zbMATH Keywords: link
zbMATH Keywords: longitude
zbMATH Keywords: medial quandle
MaRDI profile type: Publication
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DOI: 10.1142/S0218216524500317
description: scientific article; zbMATH DE number 7935795