发表机构
Tsuda University（津田塾大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究quandle着色的R等价，证明quandle内自同构群的某子群可作用于着色的R等价类，并在特定条件下完全确定二桥纽结图二面体quandle着色的R等价类。
AI 中文摘要
R等价是定向纽结图的quandle着色集合上的等价关系。本文证明，quandle的内自同构群的某个子群，可通过该quandle作用于给定着色的R等价类；还在特定条件下，完全确定了二桥纽结图由二面体quandle着色的R等价类。
英文摘要
R-equivalence is an equivalence relation on the set of colorings of an oriented knot diagram by a quandle. In this paper, we show that a certain subgroup of the inner automorphism group of a quandle acts on the R-equivalence class of a given coloring by the quandle. We also determine the R-equivalence classes of colorings of a diagram of a $2$-bridge knot by a dihedral quandle completely, under a certain condition.
Comments9 pages, 6 figures; Added a discussion of related work
