On Dimensions, Standard Part Maps, and p-Adically Closed Fields (original) (raw)

A Short Review on p-Adic Numbers

Mutlay Dogan

Eurasian Journal of Science and Engineering

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Local metric properties and regular stratifications of p-adic definable sets

Raf Cluckers

2009

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One-Dimensional p-Adic Subanalytic Sets

D. Haskell

Journal of the London Mathematical Society, 1999

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On the p-adic Algebra and its Applications

AZZEDDINE FEKAK

2009

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On the Closed Subfields ofCp

Nicolae Popescu

Journal of Number Theory, 1998

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A note on groups definable in the p-adic field

Ningyuan Yao

Archive for Mathematical Logic, 2019

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A p-adic Montel Theorem and locally polynomial functions

Jose María Almira

Filomat, 2014

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On geometry of p-adic polynomials

Evgeny I Zelenov

arXiv (Cornell University), 2022

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Essential domains and two conjectures in dimension theory

Marco Fontana

Proceedings of the American Mathematical Society, 2004

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On the dimension of the space of ℝ-places of certain rational function fields

Yaroslav Kholyavka

Central European Journal of Mathematics, 2014

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Some properties of differentiable p-adic functions

Daniel L. Rodríguez-Vidanes

Cornell University - arXiv, 2022

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A characterization of saturated models of a finite extension of the ppp-adics through a Hahn-like construction

Anna De Mase

arXiv (Cornell University), 2023

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Algebraic Characterization of Rings of Continuous p -Adic Valued Functions

Samuel Leite

Communications in Algebra, 2015

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Polyadic rings of p-adic integers

Steven Duplij

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On fields with the Property (B)

Sinnou David

HAL (Le Centre pour la Communication Scientifique Directe), 2014

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On integrally closed simple extensions of valuation rings

Anuj Jakhar

Journal of Pure and Applied Algebra, 2017

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A Note on the ( FMC ) Condition for Extensions of Commutative Rings

Noomen Jarboui

International Journal of Open Problems in Computer Science and Mathematics, 2012

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An undecidability result for the asymptotic theory of p-adic fields

Konstantinos Kartas

Annals of Pure and Applied Logic

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Another Prüfer Ring of Integer-Valued Polynomials

Alan Loper

Journal of Algebra, 1997

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On integral domains of the form ∩ DP, P minimal

William Heinzer

Crelle's Journal, 1970

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Diophantine definability of infinite discrete nonarchimedean sets and Diophantine models over large subrings of number fields

Alexandra Shlapentokh

Journal für die reine und angewandte Mathematik (Crelles Journal), 2005

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On the u-invariant of p-adic function fields

Karim Zahidi

Communications in Algebra, 2005

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The finiteness of certain sets of attached prime ideals and the length of generalized fractions

marcel morales

Journal of Pure and Applied Algebra, 2004

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p Adic Closed Ring DDG

Tressl Marcus

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Surjectivity Criteria for p-adic Representations, Part I

Adrian Vasiu

manuscripta mathematica, 2003

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p-adic Representations of Commutative Rings

Samuel Leite

2012

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Introduction to the ppp-adic Space

Joel Abraham

arXiv (Cornell University), 2017

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Some properties of prime essential rings and their generalization

Halina France-Jackson

2016

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On the Integral Degree of Integral Ring Extensions

Francesc Vilanova

Proceedings of the Edinburgh Mathematical Society

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