Burchnall–Chaundy theory, Ore extensions and σ-differential operators

DOI10.1142/S0219498814500492zbMath1310.16022OpenAlexW2050829640MaRDI QIDQ2874713

Daniel Larsson

Publication date: 8 August 2014

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498814500492

zbMATH Keywords

resultantsdifferential operatorsalgebraic curvesOre extensionsBurchnall-Chaundy theory

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Plane and space curves (14H50) Derivations and commutative rings (13N15) Difference equations, scaling ((q)-differences) (39A13) Difference algebra (12H10)

Related Items (1)

Computing Burchnall–Chaundy Polynomials with Determinants

Cites Work

• Algebraic curves for commuting elements in the \(q\)-deformed Heisenberg algebra
• Vandermonde and Wronskian matrices over division rings
• Galois theory of difference equations

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