19 citations · 56 across the 29 of their papers we have counts for
4 papers · 1 filter
Definably semisimple groups interpretable in -adically closed fields
Yatir Halevi, Assaf Hasson, Ya'acov Peterzil
Let be a -adically closed field and a group interpretable in . We show that if is definably semisimple (i.e. has no definable infinite normal abelian subgroup…
On definable groups in real closed fields with a generic derivation, and related structures
Ya'acov Peterzil, Anand Pillay, Francoise Point
We study finite-dimensional groups definable in models of the theory of real closed fields with a generic derivation (also known as CODF). We prove that any such group definably em…
On groups interpretable in various valued fields
Yatir Halevi, Assaf Hasson, Ya'acov Peterzil
We study infinite groups interpretable in three families of valued fields: -minimal, power bounded -convex, and -adically closed fields. We show that every such group …
Additive reducts of real closed fields and strongly bounded structures
Hind Abu Saleh, Ya'acov Peterzil
Given a real closed field , we identify exactly four proper reducts of which expand the underlying (unordered) -vector space structure. Towards this theorem we introduce…