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Topic: Discrete valuation


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In the News (Fri 18 Dec 09)

  
  Discrete valuation ring - Wikipedia, the free encyclopedia
R is a valuation ring with a value group isomorphic to the integers under addition.
It is a discrete valuation ring; the "unique" irreducible element is X and the valuation assigns to each function f the order of the zero of f at 0.
Every discrete valuation ring, being a local ring, carries a natural topology and is a topological ring.
en.wikipedia.org /wiki/Discrete_valuation_ring   (900 words)

  
 Recent Literature on Contingent Valuation Methods
We conclude by noting that the debate over the "value of valuation" in water resources will not subside, because this debate is part of a wider intellectual dialogue regarding the role of analysts and quantification in the making of public policy.
Environmental value or benefit transfer is a technique in which the results of studies on monetary environmental valuation are applied to new policy contexts.
The paper compares this multiattribute valuation method to contingent valuation surveys, describes the sequence of respondents' tasks, and presents results from a case study comparison of contingent valuation and value- integration survey methods in the context of valuing options for fire control in Oregon's old-growth forests.
www.sscnet.ucla.edu /ssc/labs/cameron/nrs98/cvinv.htm   (19241 words)

  
 PlanetMath: discrete valuation
Note: Discrete valuations are often written additively instead of multiplicatively; under this alternate viewpoint, the element
It has the advantage that every valuation can be normalized by a suitable scalar multiple to take values in the integers.
This is version 3 of discrete valuation, born on 2003-10-06, modified 2005-07-24.
planetmath.org /encyclopedia/RankOneValuations.html   (117 words)

  
 Discrete valuation - Wikipedia, the free encyclopedia
In mathematics, a discrete valuation on an integral domain A is a function
Conversely, if B is the set of all elements in A with nonnegative valuation, then B is a subring of A, and the set of all elements in A with strictly positive valuation is a prime ideal of B.
For example, if K is a field, then the ring of power series over K in two unknowns, K[[X, Y]], has a discrete valuation induced by the prime ideal (X, Y), and is even local, but is not a discrete valuation ring because it's not a principal ideal domain.
en.wikipedia.org /wiki/Discrete_valuation   (219 words)

  
 Valuation -- from Wolfram MathWorld (via CobWeb/3.1 planetlab2.tamu.edu)   (Site not responding. Last check: 2007-11-02)
A valuation satisfying (4b) is called non-Archimedean valuation; otherwise, it is called Archimedean.
In view of this, we need only to study valuations satisfying (4a), and we often view axioms (4) and (4a) as interchangeable (although this is not strictly true).
A discrete valuation is a valuation for which the valuation group is a discrete subset of the
mathworld.wolfram.com.cob-web.org:8888 /Valuation.html   (377 words)

  
 The Benefits of Hybrid Valuation Models
Controversy exists among valuation practitioners and academics as to which methods are most appropriate, as evidenced by, among other things, the substantial amount of litigation and other legal proceedings surrounding valuation issues.
The importance of developing reliable valuation estimates cannot be overstated, especially considering their impact on matters such as estate tax liability, business acquisitions, buy–sell agreements, and the division of assets in marital dissolutions.
The value of assets is generally derived from either future income-generating potential or liquidation value, depending on the circumstances at a given time.
www.nysscpa.org /cpajournal/2006/106/essentials/p48.htm   (1861 words)

  
 PlanetMath: valuation (via CobWeb/3.1 planetlab2.tamu.edu)   (Site not responding. Last check: 2007-11-02)
This metric is an ultrametric if and only if the valuation is non-archimedean.
Two valuations are equivalent if their corresponding metrics induce the same topology on
This is version 12 of valuation, born on 2002-04-15, modified 2006-04-11.
planetmath.org.cob-web.org:8888 /encyclopedia/RealPrime.html   (284 words)

  
 Citations Inventory
Contingent valuation is used to measure the social impacts of tourism in rural Oregon communities.
Expected values derived from econometric analysis of the differing experimental treatments suggest that further methodological adaptation of the contingent valuation method may be required (1) when it is applied in third world settings, and (2) when precision is critical in estimating WTPs.
This paper uses a referendum-style survey approach known as dichotomous-choice contingent valuation to estimate the benefits of restricting the uses of 6.9 million acres of desert land.
www.sscnet.ucla.edu /ssc/labs/cameron/cameron/91land.htm   (1492 words)

  
 Discrete Valuation Rings
Valuation rings are available for the rational field and for rational function fields.
Valuations corresponding both to an irreducible element and to
Valuation ring corresponding to the discrete non-Archimedean valuation v
magma.maths.usyd.edu.au /magma/Features/node122.html   (50 words)

  
 Discrete Valuation Ring   (Site not responding. Last check: 2007-11-02)
Let the ring r be a valuation ring, with valuation group g.
If this topology is discrete (I'll explain this below), then r is a discrete valuation ring, also known as a dvr.
If r is a valuation ring and a pid, it produces a valuation group equal to Z.
www.mathreference.com /id-val,dvr.html   (278 words)

  
 Warren May
Modules over domains large in a complete discrete valuation ring (with P. Zanardo), Rocky Mountain J. Math.
Nonhenselian valuation domains and the Krull-Schmidt property for torsion-free modules (with P. Zanardo), Forum Math.
Endomorphisms of rank one mixed modules over discrete valuation rings (with E. Toubassi), Pac.
math.arizona.edu /~may   (514 words)

  
 CJM - Well Ramified Extensions of Complete Discrete Valuation Fields with Applications to the Kato Conductor
Our work concerns ramification theory for such extensions, in particular we show that all classical properties which are true under the hypothesis {\it ``the residue field extension $\oL/\oK$ is separable''} are still valid under the more general hypothesis that the valuation ring extension is monogenic.
We study extensions $L/K$ of complete discrete valuation fields $K$ with residue field $\oK$ of characteristic $p > 0$, which we do not assume to be perfect.
In the last part of the paper we consider, for the three types, Kato's generalization of the conductor, which we show how to bound in certain cases.
journals.cms.math.ca /cgi-bin/vault/view/spriano1151   (300 words)

  
 [No title]   (Site not responding. Last check: 2007-11-02)
Archive users may download papers and produce them for their own personal use, but downloading of papers for any other activity, including reposting to other electronic bulletin boards or archives, may not be done without the written consent of the authors.
This paper argues that the widespread belief that discrete contingent valuation (CV) questions yield substantially larger estimates of the mean (and the median) willingness to pay (WTP) for nonmarket environmental resources in comparison to estimates from open-ended CV questions is unfounded.
These experiments suggest models based on choices where WTP is dominated by non use (or passive use) values are likely to have smaller errors than where large use values influence these decisions.
www.econ.duke.edu /Papers/Abstracts96/abstract.96.24.html   (195 words)

  
 On the K-theory and topological cyclic homology of smooth schemes over a discrete valuation ring   (Site not responding. Last check: 2007-11-02)
On the K-theory and topological cyclic homology of smooth schemes over a discrete valuation ring
On the K-theory and topological cyclic homology of smooth schemes over a discrete valuation ring (with Thomas Geisser)
Let V be a discrete valuation ring of mixed characteristic (0,p) and let X be a smooth and proper scheme over V. We show that with Z/p^v-coefficients, the cyclotomic trace induces an isomorphism of the Dwyer-Friedlander etale K-theory of X and the topological cyclic homology of X. final.dvi [December 23, 2003]
www-math.mit.edu /~larsh/papers/012   (84 words)

  
 Wilmott | Serving The Quantitative Finance Community | Bookshop   (Site not responding. Last check: 2007-11-02)
Since its introduction in the early 80s, the risk-neutral valuation principle has proved to be a very important tool in the pricing and hedging of financial derivatives.
On the probabilistic side, both discrete- and continuous-time stochastic processes are treated, with special emphasis on martingale theory, stochastic integration and change-of-measure techniques.
Based on firm probabilistic foundations, general properties of discrete- and continuous-time financial market models are discussed.
books.global-investor.com /books/14871.htm?ginPtrCode=10202   (280 words)

  
 GT Monographs: Volume 3
This monograph is the result of the conference on higher local fields held in Muenster, August 29 to September 5, 1999.
The aim is to provide an introduction to higher local fields (more generally complete discrete valuation fields with arbitrary residue field) and render the main ideas of this theory (Part I), as well as to discuss several applications and connections to other areas (Part II).
An n-dimensional local field is a complete discrete valuation field whose residue field is an (n-1)-dimensional local field; 0-dimensional local fields are just perfect (e.g.
www.msp.warwick.ac.uk /gt/gtmcontents3.html   (447 words)

  
 E.L. Lady -- PUBLICATIONS
Splitting fields for torsion free modules over discrete valuation rings I, Algebra 49(1977), pp.
On classifying torsion free modules over discrete valuation rings, in ``Abelian Group Theory,'' Lecture Notes in Mathematics 616(1977), pp.168 - 172.
Splitting fields for torsion free modules over discrete valuation rings III J. Algebra 66(1980), pp.
www.math.hawaii.edu /~lee/biobib.html   (1800 words)

  
 Valuation (via CobWeb/3.1 planetlab2.tamu.edu)   (Site not responding. Last check: 2007-11-02)
If two valuations are equivalent, then they are both non-
A discrete valuation is a valuation for which the
Valuation Group is a discrete subset of the
bbs.sachina.pku.edu.cn.cob-web.org:8888 /Stat/Math_World/math/v/v003.htm   (271 words)

  
 Mikhail Bondarko
[7] The presence of idempotents in the endomorphism ring of an ideal in a $p$-extension of a complete discrete valuation field with a residue field of characteristic $p$ as a Galois module, (Russian)
[14] Finite flat commutative group schemes over complete discrete valuation rings I: the generic fibre functor, (Russian), (2004).
[17] Finite flat commutative group schemes over complete discrete valuation fields: classification, structural results; application to reduction of Abelian varieties, Göttingen, 2004.
www.uni-math.gwdg.de /bondarko   (283 words)

  
 Filtered Modules over Discrete Valuation Domains (ResearchIndex) (via CobWeb/3.1 planetlab2.tamu.edu)   (Site not responding. Last check: 2007-11-02)
If your firewall is blocking outgoing connections to port 3125, you can use these links to download local copies.
Abstract: We consider a unified setting for studying local valuated groups and coset-valuated groups, emphasizing the associated filtrations rather than the values of elements.
Stable exact sequences, projectives and injectives are identified in the encompassing category, and in the category corresponding to coset-valuated groups.
citeseer.ist.psu.edu.cob-web.org:8888 /483091.html   (196 words)

  
 The Valuation Theory Home Page - Recent Preprints
Syzygies of the Graded Algebra Relative to a Valuation
Manuscript for a talk at the International Conference and Workshop on Valuation Theory, Saskatoon, Canada July/August 1999.
Seminar lecture note, presenting Grunwald's existence theorem in the framework of valuation theory.
math.usask.ca /fvk/recpap.htm   (1109 words)

  
 Amazon.com: Local Fields (Graduate Texts in Mathematics): Books: Jean-Pierre Serre   (Site not responding. Last check: 2007-11-02)
by Jean-Pierre Serre "A ring A is called a discrete valuation ring if it is a principal ideal domain (Boarbaki, Alg., Chap.
A ring A is called a discrete valuation ring if it is a principal ideal domain (Boarbaki, Alg., Chap.
Structure of Complete Discrete Valuation Rings, Computation of the Symbol, Cyclotomic Extensions of the Field
www.amazon.com /Local-Fields-Graduate-Texts-Mathematics/dp/0387904247   (816 words)

  
 DC MetaData for: Finite flat commutative group schemes over complete discrete valuation rings III: classification, ...
DC MetaData for: Finite flat commutative group schemes over complete discrete valuation rings III: classification, tangent spaces, and semistable reduction of Abelian varieties
Abstract: The results from previous works are used to obtain a complete classification of finite local flat commutative group schemes over mixed characteristic complete discrete valuation rings in terms of their Cartier modules.
We also prove the equivalence of different definitions of the tangent space and the dimension for these group schemes.
www.uni-math.gwdg.de /preprint/meta/mg.2004.06.html   (334 words)

  
 Math 8211: Lecture Outlines
[E: Exercises 11.3-4; AM: Exercise 9.3, the beginning of Section "Valuation rings" from Chapter 5]
[E: Section 11.2 through the proof of Theorem 11.2, Exercises 11.1-2; AM: Section "Discrete valuation rings" from Chapter 9, Exercise 9.4, the beginning of Section "Valuation rings" from Chapter 5]
[E: Section 3.3, especially Theorem 3.10.d and its proof, Section 11.1; AM: Chapter 4 (after Theorem 4.5 through the end) and Chapter 9 through the beginning of Section "Discrete valuation rings"]
www.math.umn.edu /~voronov/8211/outline.html   (1054 words)

  
 Hexapedia - Discrete valuation ring (via CobWeb/3.1 planetlab2.tamu.edu)   (Site not responding. Last check: 2007-11-02)
In mathematics, a discrete valuation ring (DVR) is a particular kind of commutative ring that is a local ring, which satisfies conditions that in algebraic geometry come from non-singularity of a point on an algebraic curve.
Then R is the discrete valuation ring corresponding to ν.
Any localization of a Dedekind domain is a discrete valuation ring; in practice, this is frequently how discrete valuation rings arise.
www.hexafind.com.cob-web.org:8888 /encyclopedia/Discrete_valuation_ring   (285 words)

  
 UEA Pure Maths Seminars Archive (via CobWeb/3.1 planetlab2.tamu.edu)   (Site not responding. Last check: 2007-11-02)
October 5th, Alan Beardon (Cambridge) "Circle packings and discrete complex analysis"
June 12th, Richard Miles (UEA) "Valuations and Expansiveness"
June 18th, Dugald Macpherson (Leeds) "Model theory of algebraically closed valued fields"
www.mth.uea.ac.uk.cob-web.org:8888 /~h008/seminar/pure-seminars-old.html   (3230 words)

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