Order for systems of differential equations and a generalization of the notion of differential ring

DOI10.1016/0021-8693(82)90103-XzbMath0496.12019MaRDI QIDQ1170299

Joseph Johnson

Publication date: 1982

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

zbMATH Keywords

orderdifferential preringnoetherian system of differential ideals

Mathematics Subject Classification ID

Differential algebra (12H05) Noether lattices (06F10) Abstract differential equations (12H20) Modules of differentials (13N05) Overdetermined problems for partial differential equations and systems of partial differential equations (35N99)

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Prolongation of integral domains, A differential algebraic approach to mechanics with perfect nonholonomic constraints, A note on the invertibility of nonlinear input-output differential systems, Differential and difference algebra, Unnamed Item, Generalized differentials and prolongation spaces, Unnamed Item, These are the differentials of order 𝑛

Cites Work

• Modules of imperfection in differential algebra
• Kahler Differentials and Differential Algebra in Arbitrary Characteristic
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