Polynomials over a ring that permute the matrices over that ring

DOI10.1016/0021-8693(76)90246-5zbMath0328.13003OpenAlexW2020572904MaRDI QIDQ1226533

Joel V. Brawley

Publication date: 1976

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(76)90246-5

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Polynomials over finite fields (11T06) Polynomials over commutative rings (13B25) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items (5)

Polynomials which permute the matrices over a field ⋮ Permutation polynomials on matrices ⋮ Fields that admit a nonlinear permutation polynomial ⋮ Polynomials which permute matrices over commutative antinegative semirings ⋮ Scalar polynomial functions on the nonsingular matrices over a finite field

Cites Work

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• Scalar polynomial functions on the \(n\times n\) matrices over a finite field
• Finite local rings
• Involutory Matrices Over Finite Local Rings

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