skip to content
Valued fields Preview this item
ClosePreview this item
Checking...

Valued fields

Author: Antonio J Engler; A Prestel
Publisher: Berlin ; New York : Springer, ©2005.
Series: Springer monographs in mathematics.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
"Absolute values and their completions - like the p-adic number fields - play an important role in number theory. Krull's generalization of absolute values to valuations made applications in other branches of mathematics, such as algebraic geometry, possible. In valuation theory, the notion of a completion has to be replaced by that of the so-called Henselization." "In this book, the theory of valuations as well as  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy online

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Antonio J Engler; A Prestel
ISBN: 354024221X 9783540242215
OCLC Number: 60741641
Description: x, 205 pages ; 24 cm.
Contents: 1. Absolute values --
2. Valuations --
3. Extension of valuations --
4. Henselian fields --
5. Structure theory --
6. Applications of valuation theory --
A. Ultraproducts of valued fields --
B. Classification of V-topologies.
Series Title: Springer monographs in mathematics.
Responsibility: Antonio J. Engler, Alexander Prestel.
More information:

Abstract:

Absolute values and their completions - such as the p-adic number fields - play an important role in number theory. In valuation theory, the notion of a completion has to be replaced by that of  Read more...

Reviews

Editorial reviews

Publisher Synopsis

From the reviews: "The book starts with the basic notion of absolute values followed by a comprehensive introduction to the theory of Krull valuations of arbitrary rank leading eventually to some Read more...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/60741641> # Valued fields
    a schema:CreativeWork, schema:Book ;
   library:oclcnum "60741641" ;
   library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/gw> ;
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/880165#Place/berlin> ; # Berlin
   schema:about <http://dewey.info/class/512.3/e22/> ;
   schema:about <http://experiment.worldcat.org/entity/work/data/880165#Topic/corps_value> ; # Corps valué
   schema:about <http://experiment.worldcat.org/entity/work/data/880165#Topic/p_adischer_zahlkorper> ; # p-adischer Zahlkörper
   schema:about <http://experiment.worldcat.org/entity/work/data/880165#Topic/bewerteter_korper> ; # Bewerteter Körper
   schema:about <http://id.worldcat.org/fast/1163905> ; # Valued fields
   schema:about <http://experiment.worldcat.org/entity/work/data/880165#Topic/bewertungstheorie> ; # Bewertungstheorie
   schema:about <http://experiment.worldcat.org/entity/work/data/880165#Topic/theorie_des_valuations> ; # Théorie des valuations
   schema:about <http://dewey.info/class/512.74/e22/> ;
   schema:bookFormat bgn:PrintBook ;
   schema:contributor <http://viaf.org/viaf/110033419> ; # Alexander Prestel
   schema:copyrightYear "2005" ;
   schema:creator <http://experiment.worldcat.org/entity/work/data/880165#Person/engler_antonio_j> ; # Antonio J. Engler
   schema:datePublished "2005" ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/880165> ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://worldcat.org/issn/1439-7382> ; # Springer monographs in mathematics.
   schema:name "Valued fields"@en ;
   schema:productID "60741641" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/60741641#PublicationEvent/berlin_new_york_springer_2005> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/880165#Agent/springer> ; # Springer
   schema:reviews <http://www.worldcat.org/title/-/oclc/60741641#Review/-1380599356> ;
   schema:url <http://swbplus.bsz-bw.de/bsz120357577cov.htm> ;
   schema:url <http://swbplus.bsz-bw.de/bsz120357577vlg.htm> ;
   schema:url <http://swbplus.bsz-bw.de/bsz120357577inh.htm> ;
   schema:url <http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=013365692&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA> ;
   schema:url <http://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=1508672&custom_att_2=simple_viewer> ;
   schema:url <http://catdir.loc.gov/catdir/toc/fy0606/2005930440.html> ;
   schema:url <http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=013365692&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA> ;
   schema:workExample <http://worldcat.org/isbn/9783540242215> ;
   umbel:isLike <http://bnb.data.bl.uk/id/resource/GBA553033> ;
   umbel:isLike <http://d-nb.info/97397494X> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/60741641> ;
    .


Related Entities

<http://dbpedia.org/resource/New_York_City> # New York
    a schema:Place ;
   schema:name "New York" ;
    .

<http://experiment.worldcat.org/entity/work/data/880165#Person/engler_antonio_j> # Antonio J. Engler
    a schema:Person ;
   schema:familyName "Engler" ;
   schema:givenName "Antonio J." ;
   schema:name "Antonio J. Engler" ;
    .

<http://experiment.worldcat.org/entity/work/data/880165#Topic/bewerteter_korper> # Bewerteter Körper
    a schema:Intangible ;
   schema:name "Bewerteter Körper"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/880165#Topic/bewertungstheorie> # Bewertungstheorie
    a schema:Intangible ;
   schema:name "Bewertungstheorie"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/880165#Topic/p_adischer_zahlkorper> # p-adischer Zahlkörper
    a schema:Intangible ;
   schema:name "p-adischer Zahlkörper"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/880165#Topic/theorie_des_valuations> # Théorie des valuations
    a schema:Intangible ;
   schema:name "Théorie des valuations"@en ;
    .

<http://id.worldcat.org/fast/1163905> # Valued fields
    a schema:Intangible ;
   schema:name "Valued fields"@en ;
    .

<http://viaf.org/viaf/110033419> # Alexander Prestel
    a schema:Person ;
   schema:birthDate "1941" ;
   schema:familyName "Prestel" ;
   schema:givenName "Alexander" ;
   schema:givenName "A." ;
   schema:name "Alexander Prestel" ;
    .

<http://worldcat.org/isbn/9783540242215>
    a schema:ProductModel ;
   schema:isbn "354024221X" ;
   schema:isbn "9783540242215" ;
    .

<http://worldcat.org/issn/1439-7382> # Springer monographs in mathematics.
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/60741641> ; # Valued fields
   schema:issn "1439-7382" ;
   schema:name "Springer monographs in mathematics." ;
   schema:name "Springer monographs in mathematics," ;
    .

<http://www.worldcat.org/title/-/oclc/60741641#Review/-1380599356>
    a schema:Review ;
   schema:itemReviewed <http://www.worldcat.org/oclc/60741641> ; # Valued fields
   schema:reviewBody ""Absolute values and their completions - like the p-adic number fields - play an important role in number theory. Krull's generalization of absolute values to valuations made applications in other branches of mathematics, such as algebraic geometry, possible. In valuation theory, the notion of a completion has to be replaced by that of the so-called Henselization." "In this book, the theory of valuations as well as of Henselizations is developed. The presentation is based on the knowledge acquired in a standard graduate course in algebra."--Jacket." ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.