6 citations · 9 across the 4 of their papers we have counts for
16 papers
On the class of flat stable theories
Daniel Palacín, Saharon Shelah
A new notion of independence relation is given and associated to it, the class of flat theories, a subclass of strong stable theories including the superstable ones is introduced.…
The dp-rank of abelian groups
Yatir Halevi, Daniel Palacín
An equation to compute the dp-rank of any abelian group is given. It is also shown that its dp-rank, or more generally that of any one-based group, agrees with its Vapnik-Chervonen…
Finite rank and pseudofinite groups
Daniel Palacín
It is proven that an infinite finitely generated group cannot be elementarily equivalent to an ultraproduct of finite groups of a given Prüfer rank. Furthermore, it is shown that a…
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…
Centralizers in pseudo-finite groups
Nadja Hempel, Daniel Palacin
The role of finite centralizers of involutions in pseudo-finite groups is analyzed. It is shown that a pseudo-finite group admitting a definable involutory automorphism fixing only…
A note on FC-nilpotency
Nadja Hempel, Daniel Palacin
The notion of bounded FC-nilpotent group is introduced and it is shown that any such group is nilpotent-by-finite, generalizing a result of Neumann on bounded FC-groups.