8 citations · 20 across the 9 of their papers we have counts for
11 papers
Complete type amalgamation for non-standard finite groups
Amador Martin-Pizarro, Daniel Palacín
We extend previous work on Hrushovski's stabilizer's theorem and prove a measure-theoretic version of a well-known result of Pillay-Scanlon-Wagner on products of three types. This…
Stabilizers, Measures and IP-sets
Amador Martin-Pizarro, Daniel Palacín
The purpose of this simple note is to provide elementary model-theoretic proofs to some existing results on sumset phenomena and IP sets, motivated by Hrushovski's work on the stab…
Trois couleurs: A new non-equational theory
Amador Martin-Pizarro, Martin Ziegler
A first-order theory is equational if every definable set is a Boolean combination of instances of equations, that is, of formulae such that the family of finite intersections of i…
Ample Pairs
Enrique Casanovas, Amador Martin-Pizarro, Daniel Palacin
We show that the ample degree of a stable theory with trivial forking is preserved when we consider the corresponding theory of belles paires, if it exists. This result also applie…
Equational theories of fields
Amador Martin-Pizarro, Martin Ziegler
A complete first-order theory is equational if every definable set is a Boolean combination of instances of equations, that is, of formulae such that the family of finite intersect…
A model theoretic study of right-angled buildings
Andreas Baudisch, Amador Martin-Pizarro, Martin Ziegler
We study the model theory of countable right-angled buildings with infinite residues. For every Coxeter graph we obtain a complete theory with a natural axiomatisation, which is $ω…