3 citations · 3 across the 2 of their papers we have counts for
Showing 1998Show all
3 papers · 1 filter
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…
math.NT1998
Difference subgroups of commutative algebraic groups over finite fields
Thomas Scanlon, José Felipe Voloch
The work of Chatzidakis and Hrushovski on the model theory of difference fields in characteristic zero showed that groups defined by difference equations have a very restricted str…