论文标题
二面烟的烟气环的分解
Decomposition of quandle rings of dihedral quandles
论文作者
论文摘要
令$ k = \ mathbb r $或$ \ mathbb c $和$ \ mathcal r_n $是$ n $ dorder dihedral r_n $：在本文中，我们将Quandle ring $ k [\ MATHCAL R_N] $分解为Innecomposable in Innecomposable ockomposable $ k [\ MATHCAL R_N] $ -Modules $ n $ n $ n $ n $ n $ n $ n $ n $ n $ n os for hous。因此，只有在$ n $不可用$ 4的情况下，[EFT19，Prop。4.18（2）]中给出的$ k [\ mathcal r_n] $的分解是有效的。
Let $K = \mathbb R$ or $\mathbb C$ and $\mathcal R_n$ be the dihedral quandle of order $n$: In this article, we give decomposition of the quandle ring $K[\mathcal R_n]$ into indecomposable right $K[\mathcal R_n]$-modules for all even $n \in \mathbb N$. It follows that the decomposition of $K[\mathcal R_n]$ given in [EFT19, Prop. 4.18(2)] is valid only in the case when $n$ is not divisible by $4.$
