21 citations · 29 across the 4 of their papers we have counts for
6 papers · 1 filter
Pseudo T-closed fields
Samaria Montenegro, Silvain Rideau-Kikuchi
Pseudo algebraically closed, pseudo real closed, and pseudo -adically closed fields are examples of unstable fields that share many similarities, but have mostly been studied se…
Groups definable in partial differential fields with an automorphism
Ronald F. Bustamante Medina, Zoé Chatzidakis, Samaria Montenegro
In this paper we study groups definable in existentially closed partial differential fields of characteristic 0 with an automorphism which commutes with the derivations. In particu…
Imaginaries, invariant types and pseudo p-adically closed fields
Samaria Montenegro, Silvain Rideau
In this paper, we give a very general criterion for elimination of imaginaries using an abstract independent relation. We also study germs of definable functions at certain well-be…
Stabilizers, groups with f-generics in NTP2 and PRC fields
Samaria Montenegro, Alf Onshuus, Pierre Simon
In this paper we develop three different subjects. We study and prove alternative versions of Hrushovski's "Stabilizer Theorem", we generalize part of the basic theory of definably…
Imaginaries in bounded pseudo real closed fields
Samaria Montenegro
The main result of this paper is that if M is a bounded PRC field then Th(M) eliminates imaginaries in the language of rings expanded by constant symbols.
Pseudo real closed field, pseudo p-adically closed fields and NTP2
Samaria Montenegro
The main result of this paper is a positive answer to the Conjecture 5.1 by A. Chernikov, I. Kaplan and P. Simon: If M is a PRC field, then Th(M) is NTP_2 if and only if M is bound…