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Diquandles and invariants for oriented dichromatic links

Department of Mathematics, Pusan National University, Busan 46241, Republic of Korea

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Department of Mathematics, Graduate School of Natural Sciences, Pusan National University, Busan 46241, Republic of Korea

E-mail Address: ibrahimsheikh@pusan.ac.kr

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https://doi.org/10.1142/S0218216521500498Cited by:2 (Source: Crossref)

Abstract

In this paper, we introduce an algebraic structure called a diquandle which is a set equipped with two quandle operations satisfying the right distributive laws. We discuss various examples and some properties of diquandles and also show that a diquandle enables us to distinguish oriented dichromatic links by telling that their coloring sets are different when their arcs are colored by elements of the diquandle.

Keywords:

AMSC: 57M25, 57M27

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