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Order for systems of differential equations and a generalization of the notion of differential ring. (English) Zbl 0496.12019

12H20 Abstract differential equations
13N05 Modules of differentials
06F10 Noether lattices
12H05 Differential algebra
35N99 Overdetermined problems for partial differential equations and systems of partial differential equations
Full Text: DOI
[1] Kolchin, E, Differential algebra and algebraic groups, (1973), Academic Press New York · Zbl 0264.12102
[2] Pommaret, J.F, Systems of partial differential equations and Lie pseudogroups, (1978), Gordon and Breach New York · Zbl 0418.35028
[3] Johnson, J, Kähler differentials and differential algebra in arbitrary characteristic, Trans. amer. math. soc., 192, 201-208, (1974) · Zbl 0288.12104
[4] Johnson, J, Modules of imperfection in differential algebra, J. algebra, 65, 307-316, (1980) · Zbl 0448.12014
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