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Diquandles and invariants for oriented dichromatic links
Journal of Knot Theory and Its Ramifications ( IF 0.3 ) Pub Date : 2021-09-11 , DOI: 10.1142/s0218216521500498
Sang Youl Lee 1 , Mohd Ibrahim Sheikh 2
Affiliation  

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.

中文翻译:

定向二色链接的双倍数和不变量

在本文中,我们介绍了一种称为 diquandle 的代数结构,它是一个具有两个满足右分配律的 quandle 操作的集合。我们讨论了 diquandle 的各种示例和一些属性,并且还表明 diquandle 使我们能够通过告诉它们的着色集在它们的弧被 diquandle 的元素着色时是不同的来区分定向的二色链接。
更新日期:2021-09-11
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