2 papers
math.LO2025
The theory DCFA exists for
Kai Ino, Omar Leon Sanchez
We prove that the (elementary) class of differential-difference fields in characteristic admits a model-companion. In the terminology of Chatzidakis-Pillay, this says that th…
math.LO2025
Separably differentially closed fields
Kai Ino, Omar Leon Sanchez
We introduce and study a new class of differential fields in positive characteristic. We call them separably differentially closed fields and demonstrate that they are the differen…