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math.RA1998
Lascar and Morley ranks differ in differentially closed fields
Ehud Hrushovski, Thomas Scanlon
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 fun…
math.RA1998
Supersimple fields and division rings
Anand Pillay, Thomas Scanlon, Frank Wagner
It is proved that any supersimple field has trivial Brauer group, and more generally that any supersimple division ring is commutative. As prerequisites we prove several results ab…