We survey separably differentially closed fields and separable differential closure in comparison with differentially closed fields and differential closure. Also we observe several topics around the theory of separably differentially closed fields
We study function fields of curves over a base field $K$ which is either a global field or a large f...
Consider a definably complete locally o-minimal expansion F = (F, +.·, <, 0, 1, ...) of an ordered f...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1972.Vita.Bibliography...
We prove the Existential Closedness conjecture for the differential equation of the j-function and i...
This paper shows that in general, difference fields do not have a difference closure. However, we in...
AbstractWe rework the foundations of the theory of differentially closed fields of characteristic ze...
Hrushovski showed that the theory of difference-differential fields of characteristiczero has a mode...
Base field and differential varieties Unless stated otherwise, our objects are defined over a base d...
This paper concerns the basic model-theory of fields of arbitrary characteristic with operators. Sim...
Given an algebraic differential equation of order greater than one, it is shown that if there is any...
This thesis consists of two unrelated research projects. In the first project we study the model the...
In this paper we provide new examples of geometrically trivial strongly minimal differential algebra...
I prove a version of Schanuel's conjecture for Weierstrass equations in differential fields, answeri...
E. Hrushovski proved tha the theory of difference-differential fields has a model companion. We prov...
Abstract. A difference field is a field with a distinguished automorphism σ. This paper studies the ...
We study function fields of curves over a base field $K$ which is either a global field or a large f...
Consider a definably complete locally o-minimal expansion F = (F, +.·, <, 0, 1, ...) of an ordered f...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1972.Vita.Bibliography...
We prove the Existential Closedness conjecture for the differential equation of the j-function and i...
This paper shows that in general, difference fields do not have a difference closure. However, we in...
AbstractWe rework the foundations of the theory of differentially closed fields of characteristic ze...
Hrushovski showed that the theory of difference-differential fields of characteristiczero has a mode...
Base field and differential varieties Unless stated otherwise, our objects are defined over a base d...
This paper concerns the basic model-theory of fields of arbitrary characteristic with operators. Sim...
Given an algebraic differential equation of order greater than one, it is shown that if there is any...
This thesis consists of two unrelated research projects. In the first project we study the model the...
In this paper we provide new examples of geometrically trivial strongly minimal differential algebra...
I prove a version of Schanuel's conjecture for Weierstrass equations in differential fields, answeri...
E. Hrushovski proved tha the theory of difference-differential fields has a model companion. We prov...
Abstract. A difference field is a field with a distinguished automorphism σ. This paper studies the ...
We study function fields of curves over a base field $K$ which is either a global field or a large f...
Consider a definably complete locally o-minimal expansion F = (F, +.·, <, 0, 1, ...) of an ordered f...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1972.Vita.Bibliography...