Prolongation of integral domains

DOI10.1016/0021-8693(85)90209-1zbMath0619.13014OpenAlexW1968600308MaRDI QIDQ1089392

Joseph Johnson

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90209-1

zbMATH Keywords

overdetermined systems of partial differential equationsderivation operators of a differential fielddifferential kernels

Mathematics Subject Classification ID

Morphisms of commutative rings (13B10) Integral domains (13G05) Abstract differential equations (12H20) Modules of differentials (13N05) Overdetermined problems for partial differential equations and systems of partial differential equations (35N99)

Related Items (7)

Differential and difference algebra ⋮ Effective uniform bounding in partial differential fields ⋮ Prolongations in differential algebra ⋮ Generalized differentials and prolongation spaces ⋮ Unnamed Item ⋮ These are the differentials of order 𝑛 ⋮ Effective bound for the geometric Lang conjecture

Cites Work

• A mathematical introduction to fluid mechanics
• A note on the structure of graded modules over a polynomial ring
• Order for systems of differential equations and a generalization of the notion of differential ring
• On E. Cartan's Prolongation Theorem of Exterior Differential Systems
• Prolongations of linear partial differential equations. I. A conjecture of Élie Cartan
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