Decomposition of quandle rings of dihedral quandles

Let K = R or C and R n be the dihedral quandle of order n . In this article, we give decomposition of the quandle ring K [ R n ] into indecomposable right K [ R n ] -modules for all even n ∈ N . It follows that the decomposition of K [ R n ] given in [ 2 , Prop. 4.18(2)] is valid only in the case wh...

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Bibliographic Details
Published in:Indian journal of pure and applied mathematics 2024-06, Vol.55 (2), p.726-730
Main Authors: Kaur, Dilpreet, Singh, Pushpendra
Format: Article
Language:English
Subjects:
Applications of Mathematics
Decomposition
Mathematics
Mathematics and Statistics
Numerical Analysis
Original Research
Citations: Items that this one cites
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Summary:Let K = R or C and R n be the dihedral quandle of order n . In this article, we give decomposition of the quandle ring K [ R n ] into indecomposable right K [ R n ] -modules for all even n ∈ N . It follows that the decomposition of K [ R n ] given in [ 2 , Prop. 4.18(2)] is valid only in the case when n is not divisible by 4.
ISSN:0019-5588
0975-7465
DOI:10.1007/s13226-023-00405-2