28 citations · 117 across the 30 of their papers we have counts for
4 papers · 1 filter
Henselianity in NIP -algebras
Will Johnson
We prove an assortment of results on (commutative and unital) NIP rings, especially -algebras. Let be a NIP ring. Then every prime ideal or radical ideal of i…
A note on fsg groups in p-adically closed fields
Will Johnson
Let be a definable group in a -adically closed field . We show that has finitely satisfiable generics (fsg) if and only if is definably compact. The case $M = \ma…
The étale open topology over the fraction field of a henselian local domain
Will Johnson, Erik Walsberg, Jinhe Ye
Suppose that is a local domain with fraction field . If is Henselian then the -adic topology over refines the étale open topology. If is regular then the étal…
On non-compact -adic definable groups
Will Johnson, Ningyuan Yao
Peterzil and Steinhorn proved that if a group definable in an -minimal structure is not definably compact, then contains a definable torsion-free subgroup of dimension o…