9 citations · 25 across the 20 of their papers we have counts for
25 papers
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…
Commutative bidifferential algebra
Omar Leon Sanchez, Rahim Moosa
Motivated by the Poisson Dixmier-Moeglin equivalence problem, a systematic study of commutative unitary rings equipped with a {\em biderivation}, namely a binary operation that is…
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…
A Poisson basis theorem for symmetric algebras of infinite-dimensional Lie algebras
Omar Leon Sanchez, Susan J. Sierra
We consider when the symmetric algebra of an infinite-dimensional Lie algebra, equipped with the natural Poisson bracket, satisfies the ascending chain condition (ACC) on Poisson i…