2 citations · 2 across the 4 of their papers we have counts for
9 papers
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…
Interpretable Fields in Various Valued Fields
Yatir Halevi, Assaf Hasson, Ya'acov Peterzil
Let be a dp-minimal expansion of a non-trivially valued field of characteristic and an infinite field interpretable in . A…
Fields interpretable in -minimal fields
Yatir Halevi, Assaf Hasson, Ya'acov Peterzil
We prove that an infinite field interpretable in a -adically closed field is definably isomorphic to a finite extension of . The result remains true in any -minimal fi…
Infinite Stable Graphs With Large Chromatic Number II
Yatir Halevi, Itay Kaplan, Saharon Shelah
We prove a version of the strong Taylor's conjecture for stable graphs: if is a stable graph whose chromatic number is strictly greater than then contai…
Infinite Stable Graphs With Large Chromatic Number
Yatir Halevi, Itay Kaplan, Saharon Shelah
We prove that if is an -stable (respectively, superstable) graph with (respectively, ) then contains all the finite subgraphs of the…
Dp-minimal integral domains
Christian d'Elbée, Yatir Halevi
It is shown that every dp-minimal integral domain is a local ring and for every non-maximal prime ideal of , the localization is a valuatio…