On power sums of matrices over a finite commutative ring

DOI10.1142/S0218196717500278zbMath1372.15026arXiv1505.08132OpenAlexW2963726990MaRDI QIDQ5365326

Antonio M. Oller-Marcén, Pedro Fortuny Ayuso, José María Grau, Ignacio F. Rúa

Publication date: 6 October 2017

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.08132

zbMATH Keywords

power sumsmatrix ringfinite commutative ring

Mathematics Subject Classification ID

Matrices of integers (15B36) Matrices, determinants in number theory (11C20)

Related Items (1)

A Carlitz-von Staudt type theorem for finite rings

Uses Software

• OEIS

Cites Work

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• On the structure of quaternion rings over \(\mathbb{Z}/n\mathbb{Z}\)
• A von Staudt-type result for \(\sum _{z\in \mathbb {Z}_n[i} z^k\)]
• Power sums of matrices over a finite field
• On the congruence \(1^m + 2^m + \ldots + m^m\equiv n \bmod m\) with \(n\mid m\)
• Solutions of the congruence 1+2f(n)+⋯+nf(n)≡0 mod n
• The Staudt-Clausen Theorem

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