Diquandles and invariants for oriented dichromatic links-Reference-Cited by-同舟云学术

Diquandles and invariants for oriented dichromatic links

Published:2021-06 Issue:07 Volume:30 Page:
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Lee Sang Youl¹,Sheikh Mohd Ibrahim²

Affiliation:

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

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

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.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216521500498

Reference11 articles.

1. Involutory Quandles and Dichromatic Links

2. Dichromatic link invariants

3. An invariant of dichromatic links

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Presentations of diquandles and diquandle coloring invariants for solid torus knots and links;Journal of Knot Theory and Its Ramifications;2024-02

2. Disingquandles and invariants of dichromatic singular links;Journal of Knot Theory and Its Ramifications;2023-10-30