3 papers
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…
math.LO2025
Fields with Lie-commuting and iterative operators
Jan Dobrowolski, Omar Leon Sanchez
We introduce a general framework for studying fields equipped with operators, given as co-ordinate functions of homomorphisms into a local algebra , satisfying various…
math.LO2025
Neostability transfers in derivation-like theories
Omar Leon Sanchez, Shezad Mohamed
Motivated by structural properties of differential field extensions, we introduce the notion of a theory being derivation-like with respect to another model complete theory $T_…