Linear extensions of multiple conjugation quandles and MCQ Alexander pairs

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1 Citation (Scopus)

Abstract

A quandle is an algebra whose axioms are motivated from knot theory. A linear extension of a quandle can be described by using a pair of maps called an Alexander pair. In this paper, we show that a linear extension of a multiple conjugation quandle can be described by using a pair of maps called an MCQ Alexander pair, where a MCQ is an algebra whose axioms are motivated from handlebody-knot theory.

Original languageEnglish
Article number500456
JournalJournal of Algebra and its Applications
Volume20
Issue number3
DOIs
Publication statusPublished - 2021 Mar
Externally publishedYes

Keywords

  • MCQ Alexander pair
  • Multiple conjugation quandle
  • handlebody-knot
  • linear extension

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics

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