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I need a reference for field extension and Galois extension (like an introduction) please.

Thank you.

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    $\begingroup$ What about Serge Lang, Algebra, 1th Ed. (1965), ch. 7 & 8? $\endgroup$
    – Dieter Kadelka
    Commented Sep 15, 2020 at 11:32
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    $\begingroup$ A more elementary introduction is E. Artin, Galois theory. $\endgroup$
    – Alexandre Eremenko
    Commented Sep 15, 2020 at 13:22

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There are many references for such topics. As @DieterKadelka suggested, the book by Lang is a really good reference. You may also be interested in the following ones:

Bastida, J. R. (1984). Field Extensions and Galois Theory. Cambridge University Press

Edwards, Harold M. (1984). Galois Theory. Graduate Texts in Mathematics. 101. New York: Springer-Verlag

Hungerford, T. (2012). Abstract Algebra: An introduction. 3rd ed.

Girardi, M; Israel, G. (1976). Teoria dei campi. Feltrinelli Editore Milano

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    $\begingroup$ In addition to the references indicated above, I would suggest a very good textbook that, however, is in Italian: Teoria dei campi, by Mario Girardi and Giorgio Israel, Feltrinelli editore Milano $\endgroup$
    – James Silipo
    Commented Sep 15, 2020 at 12:25
  • $\begingroup$ Thanks. I have added it to the above list. $\endgroup$
    – Manuel Norman
    Commented Sep 15, 2020 at 12:45

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