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math.RA2025
Cyclotomic Matrices and Power Difference Sets
Wei-Liang Sun
The cyclotomic matrix is commonly used to arrange cyclotomic numbers in a convenient format. A natural question is whether the structure of the matrix can reflect properties of the…
math.RA2025
A Note on Idempotent Matrices: The Poset Structure and The Construction
Sen-Peng Eu, Yong-Siang Lin, Wei-Liang Sun
Idempotent elements play a fundamental role in ring theory, as they encode significant information about the underlying algebraic structure. In this paper, we study idempotent matr…
math.RA2020★ 2 cited
The Multiplicative Jordan Decomposition in the Integral Group Ring
Wentang Kuo, Wei-Liang Sun
Let be a prime such that the multiplicative order of modulo is even. We prove that the integral group ring has the multiplicative Jorda…