Does there exist an English translation of Steinitz' 1910 work "Algebraische Theorie der Körper"?


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    $\begingroup$ It's extremely unlikely, as in the case of most other classic papers and books of that era. The original long Crelle paper was later published in book form, but as far as I know never translated. In any case, the mathematics itself would need to be translated somewhat into modern language. Sometimes that's the most challenging task. $\endgroup$ – Jim Humphreys Jul 8 '13 at 19:32
  • $\begingroup$ @JimHumphreys: I only browsed this paper once, in fact in the context of an MO question, but was very surprised how close its exposition felt to what I am used to. So in this particular case there might not be much need for modernizing. To Drew Armstrong: why would you need a translation? If it is only something specific you might ask this directly. $\endgroup$ – user9072 Jul 8 '13 at 20:26
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    $\begingroup$ @quid: I am interested in the paper mainly for its historical significance. In particular, I would like to know Steinitz' opinion on the matter of whether and how abstract fields can be classified. $\endgroup$ – Drew Armstrong Jul 9 '13 at 21:18
  • $\begingroup$ Thank you for the explication of the motivation. I am afraid since this is not a request on a narrow aspect I cannot be of help, not knowing the paper in full. $\endgroup$ – user9072 Jul 9 '13 at 23:04

You may already know this, but the best reference about Steinitz $1910$ work I could find is the following summary by Peter Roquette: http://www.rzuser.uni-heidelberg.de/~ci3/STEINITZ.pdf. Some English references are given there, and apparently a lot of Steinitz $1910$ work can be found in the book "Modern Algenbra" by van der Waerden, but I don't know about a full translation.

Edit: I think, as Jim has pointed out, that most likely there is no translation. Certainly Peter Roquette would have mentioned a translation in his discussion, and I think he has searched for it.


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