Valued modules over skew polynomial rings I

Journal of Symbolic Logic 82 (4):1519-1540 (2017)
  Copy   BIBTEX

Abstract

We introduce a notion of valued module which is suitable to study valued fields of positive characteristic. Then we built-up a robust theory of henselianity in the language of valued modules and prove Ax-Kochen Ershov type results.

Categories

Keywords

Reprint years

DOI

10.1017/jsl.2017.72

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 92,574

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

Towards the decidability of the theory of modules over finite commutative rings.Gena Puninski & Carlo Toffalori - 2009 - Annals of Pure and Applied Logic 159 (1-2):49-70.
The theory of modules of separably closed fields. I.Pilar Dellunde, Françoise Delon & Françoise Point - 2002 - Journal of Symbolic Logic 67 (3):997-1015.
The Woods–Erdös conjecture for polynomial rings.Maxim Vsemirnov - 2001 - Annals of Pure and Applied Logic 113 (1-3):331-344.
Interpreting modules in modules.Mike Prest - 1997 - Annals of Pure and Applied Logic 88 (2-3):193-215.
On principally generated quantaloid-modules in general, and skew local homeomorphisms in particular.Hans Heymans & Isar Stubbe - 2010 - Annals of Pure and Applied Logic 161 (1):43-65.
Comparing First Order Theories of Modules over Group Rings II: Decidability.Saverio Cittadini & Carlo Toffalori - 2002 - Mathematical Logic Quarterly 48 (5):483-498.
A Simple Observation Regarding Iterations Of Finite-valued Polynomial-time Functions.Jerzy Mycka - 2009 - Reports on Mathematical Logic:19-29.
Diophantine equivalence and countable rings.Alexandra Shlapentokh - 1994 - Journal of Symbolic Logic 59 (3):1068-1095.
Weakly minimal modules over integral group rings and over related classes of rings.Stefano Leonesi, Sonia L'Innocente & Carlo Toffalori - 2005 - Mathematical Logic Quarterly 51 (6):613-625.
Comparing First Order Theories of Modules over Group Rings.Saverio Cittadini & Carlo Toffalori - 2002 - Mathematical Logic Quarterly 48 (1):147-156.
Strict Mittag‐Leffler modules.P. A. Guil Asensio, M. C. Izurdiaga, Ph Rothmaler & B. Torrecillas - 2011 - Mathematical Logic Quarterly 57 (6):566-570.
Comparing First Order Theories of Modules over Group Rings II: Decidability: Decidability.Carlo Toffalori & S. Cittadini - 2002 - Mathematical Logic Quarterly 48 (4):483-498.
A note on the decidability of exponential terms.Paola D'Aquino & Giuseppina Terzo - 2007 - Mathematical Logic Quarterly 53 (3):306-310.
Quantifier elimination in valued Ore modules.Luc Bélair & Françoise Point - 2010 - Journal of Symbolic Logic 75 (3):1007-1034.
Leloup, G., Rings of monoids elementarily equivalent to polynomial rings Miller, C., Expansions of the real field with power functions Ozawa, M., Forcing in nonstandard analysis Rathjen, M., Proof theory of reflection. [REVIEW]L. D. Beklemishev, O. V. Belegradek, K. J. Davey & J. L. Krivine - 1994 - Annals of Pure and Applied Logic 68:343.

Analytics

Added to PP
2018-02-09

Downloads
2 (#1,809,554)

6 months
1 (#1,478,830)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

No references found.

Add more references