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Körpertheorie

English translation: algebraic theory of fields

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GLOSSARY ENTRY (DERIVED FROM QUESTION BELOW)
German term or phrase:algebraische Theorie der Körper
English translation:algebraic theory of fields
Entered by: Steffen Walter
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02:36 Feb 5, 2009
German to English translations [PRO]
Science - Mathematics & Statistics / Algebra
German term or phrase: Körpertheorie
Invented (?) by Ernst Steinitz and published by him in 1910.

Could someone help with the correct term in English?

Many thanks.
transatgees
United Kingdom
Local time: 17:10
Algebraic Theory of Fields
Explanation:
In 1910 Steinitz published the very influential paper Algebraische Theorie der Körper (German: Algebraic Theory of Fields, Crelle's Journal (1910), 167–309). In this paper he axiomatically studies the properties of fields and defines important concepts like prime field, perfect field and the transcendence degree of an field extension. Steinitz also made fundamental contributions to the theory of polyhedra: Steinitz's theorem for polyhedra is that the 1-skeletons of convex polyhedra are exactly the 3-connected planar graphs. His work in this area was published posthumously as a 1934 book, Vorlesungen über die Theorie der Polyeder unter Einschluss der Elemente der Topologie, by Hans Rademacher.
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Alexander Ryshow
Belarus
Local time: 19:10
Grading comment
Thank you
4 KudoZ points were awarded for this answer

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Summary of answers provided
4 +1Algebraic Theory of Fields
Alexander Ryshow


  

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24 mins   confidence: Answerer confidence 4/5Answerer confidence 4/5 peer agreement (net): +1
Algebraic Theory of Fields


Explanation:
In 1910 Steinitz published the very influential paper Algebraische Theorie der Körper (German: Algebraic Theory of Fields, Crelle's Journal (1910), 167–309). In this paper he axiomatically studies the properties of fields and defines important concepts like prime field, perfect field and the transcendence degree of an field extension. Steinitz also made fundamental contributions to the theory of polyhedra: Steinitz's theorem for polyhedra is that the 1-skeletons of convex polyhedra are exactly the 3-connected planar graphs. His work in this area was published posthumously as a 1934 book, Vorlesungen über die Theorie der Polyeder unter Einschluss der Elemente der Topologie, by Hans Rademacher.


    Reference: http://en.wikipedia.org/wiki/Ernst_Steinitz
Alexander Ryshow
Belarus
Local time: 19:10
Native speaker of: Native in RussianRussian
PRO pts in category: 8
Grading comment
Thank you

Peer comments on this answer (and responses from the answerer)
agree  Inge Meinzer
10 hrs
  -> Danke!
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Changes made by editors
Feb 6, 2009 - Changes made by Steffen Walter:
Edited KOG entry<a href="/profile/913099">Alexander Ryshow's</a> old entry - "Körpertheorie" » "Algebraic Theory of Fields"
Feb 6, 2009 - Changes made by Alexander Ryshow:
Created KOG entryKudoZ term » KOG term


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