3 papers
math.RA2021
Cyclic and non-cyclic division algebras of finite dp-rank
Christian d'Elbée
Milliet asks the following question: given two prime numbers , is there a division algebra of characteristic which is of dp-rank and of dimension over its…
math.LO2020
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…
math.LO2018
Forking, Imaginaries and other features of ACFG
Christian d'Elbée
We study the generic theory of algebraically closed fields of fixed positive characteristic with a predicate for an additive subgroup, called . This theory was intro…