4 citations · 9 across the 5 of their papers we have counts for
5 papers · 1 filter
, and division rings of prime characteristic
Cédric Milliet
Combining a characterisation by Bélair, Kaplan, Scanlon and Wagner of certain valued fields of characteristic with Dickson's construction of cyclic algebras, we provi…
On properties of (weakly) small groups
Cédric Milliet
A group is small if it has countably many complete -types over the empty set for each natural number n. More generally, a group is weakly small if it has countably many comp…
Small skew fields
Cédric Milliet
Wedderburn showed in 1905 that finite fields are commutative. As for infinite fields, we know that superstable (Cherlin, Shelah) and supersimple (Pillay, Scanlon, Wagner) ones are…
Fields and rings with few types
Cédric Milliet
Let R be an associative ring with possible extra structure. R is said to be weakly small if there are countably many 1-types over any finite subset of R. It is locally P if the alg…
A remark on Cantor derivative
Cédric Milliet
It is shown that, modulo an equivalence relation induced by finite correspondences preserving Cantor rank, the class of topological spaces is an integral semi-ring on which the Can…