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20182026
most citedOn Dimensions, Standard Part Maps, and -Adically Closed Fields

3 citations · 3 across the 5 of their papers we have counts for

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7 papers · 1 filter

math.LO2026

Newelski's Conjecture for -Minimal and -Adic Groups

Ningyuan Yao, Zhentao Zhang

Let denote either the field structure of -adic numbers, or an -minimal expansion of the field structure of real numbers. We investig…

math.LO2026

On groups definable in -adically closed fields

Anand Pillay, Ningyuan Yao, Zhentao Zhang

This paper is about the / decomposition for groups definable in -adically closed fields. It is proved that for definably amenable, has a definable normal $…

math.LO2023

On definable -generic groups and minimal flows in -adically closed fields

Ningyuan Yao, Zhentao Zhang

Let be a definable group definable over a small model . Recall that a global type on is definable -generic over if every left translate of is definabl…

math.LO2021

Definably Topological Dynamics of -Adic Algebraic Groups

Jiaqi Bao, Ningyuan Yao

We study the -adic algebraic groups from the definable topological-dynamical point of view. We consider the case that is an arbitrary -adic closed field and an al…

math.LO20203 cited

On Dimensions, Standard Part Maps, and -Adically Closed Fields

Ningyuan Yao

The aim of this paper is to study the dimensions and standard part maps between the field of -adic numbers and its elementary extension in the language of…

math.LO2019

Definable Topological Dynamics for Trigonalizable Algebraic Groups over Qp

Ningyuan Yao

We study the flow (G(Qp); SG(Qp)) of trigonalizable algebraic group acting on its type space, focusing on the problem raised in [17] of whether weakly generic types coincide with a…