A minimal type of Morley rank ω in a partial differential field
Piotr Kowalski
math.LOarXiv:2609.18730
Abstract
We consider the Kolchin-generic complete 1-type of the inviscid Burgers equation Dx=x∂ x in a differentially closed field of characteristic zero with two commuting derivations. We prove that this type has Lascar rank 1 and Morley rank ω.
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