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 multiple conjugation quandle is an algebra whose axioms are motivated from handlebody-knot theory.
MSC Codes Primary 57M27, Secondary 57M25, 57M15
|Publication status||Published - 2019 May 7|
- And phrases. multiple conjugation quandle
- Linear extension
- MCQ Alexander pair
ASJC Scopus subject areas