Lascar and Morley ranks differ in differentially closed fields

Details Lascar and Morley ranks differ in differentially closed fields Lascar and Morley ranks differ in differentially closed fields

1998-09-30

arxiv.org/abs/math/9809190v1

Mathematics

Rings and Algebras

Scientific paper

We note here, in answer to a question of Poizat, that the Morley and Lascar
ranks need not coincide in differentially closed fields. We approach this
through the (perhaps) more fundamental issue of the variation of Morley rank in
families.

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