9 citations · 25 across the 20 of their papers we have counts for
14 papers · 1 filter
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…
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_…
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…
More on Galois cohomology, definability and differential algebraic groups
Omar Leon Sanchez, David Meretzky, Anand Pillay
We make further observations on the features of Galois cohomology in the general model theoretic context. We make explicit the connection between forms of definable groups and firs…
Coincidence of dimensions in closed ordered differential fields
Pantelis E. Eleftheriou, Omar Leon Sanchez, Nathalie Regnault
Let be a closed ordered differential field, in the sense of M. Singer, and its field of constants. In this note, we prove that, for set…
Differential Galois cohomology and parameterized Picard-Vessiot extensions
Omar Leon Sanchez, Anand Pillay
Assuming that the differential field is differentially large, in the sense of León Sánchez and Tressl, and "bounded" as a field, we prove that for any linear differential a…