2 citations · 3 across the 2 of their papers we have counts for
4 papers
A differential Chevalley theorem
Eric Rosen
We prove a differential analog of a theorem of Chevalley on extending homomorphisms for rings with commuting derivations, generalizing a theorem of Kac. As a corollary, we establis…
Differentials over differential fields
Eric Rosen
Given an algebra over a differential field , we study derivations on that are compatible with the derivation on . There is a universal object, which is a twisted vers…
Prolongations in differential algebra
Eric Rosen
We develop the theory of higher prolongations of algebraic varieties over fields in arbitrary characteristic with commuting Hasse-Schmidt derivations. Prolongations were introduced…
Order 1 strongly minimal sets in differentially closed fields
Eric Rosen
We give a classification of non-orthogonality classes of trivial order 1 strongly minimal sets in differentially closed fields. A central idea is the introduction of -forms, fun…