2022/06/07 by Dilpreet Kaur, Pushpendra Singh, Kaur, Dilpreet +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.2206.03162
Let K = \mathbb R or \mathbb C and \mathcal Rn be the dihedral quandle of order n: In this article, we give decomposition of the quandle ring K[\mathcal Rn] into indecomposable right K[\mathcal Rn]-modules for all even n ∈ \mathbb N. It follows that the decomposition of K[\mathcal Rn] given in [EFT19, Prop. 4.18(2)] is valid only in the case when n is not divisible by 4.