FIXED POINTS OF POLYNOMIALS OVER DIVISION RINGS

DOI10.1017/S0004972721000113zbMath1485.16024arXiv2009.09793OpenAlexW3134467952MaRDI QIDQ4959269

Adam Chapman, Solomon Vishkautsan

Publication date: 13 September 2021

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.09793

zbMATH Keywords

fixed pointpolynomial ringperiodic pointdivision ringdivision algebranoncommutative dynamical systemstandard polynomial

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Finite-dimensional division rings (16K20) Arithmetic properties of periodic points (37P35)

Related Items (1)

Roots and critical points of polynomials over Cayley–Dickson algebras

Cites Work

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• Inner derivations of alternative algebras over commutative rings
• Standard polynomial equations over division algebras
• A Note on the Computation of All Zeros of Simple Quaternionic Polynomials
• Polynomial equations over octonion algebras
• Wedderburn polynomials over division rings, II
• On the Zeros of Polynomials over Division Rings

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