Theory of commutative fields / Masayoshi Nagata ; translated by Masayoshi Nagata
Traduction de: Kakantai ronType de document : MonographieCollection : Translations of mathematical monographs, 125Langue : anglais ; de l'oeuvre originale, japonnais.Pays: Etats Unis.Éditeur : Providence (R.I.) : American Mathematical Society, cop. 1993Description : 1 vol. (XV-249 p.) ; 27 cmISBN: 0821845721.ISSN: 0065-9282.Bibliographie : Index.Sujet MSC : 12-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to field theory12D15, Field theory and polynomials - Real and complex fields, Fields related with sums of squares
12F10, Field theory and polynomials - Field extensions, Separable extensions, Galois theory
12F20, Field theory and polynomials - Field extensions, Transcendental field extensions
12J20, Field theory and polynomials - Topological fields, General valuation theory for fieldsEn-ligne : Zentralblatt | MathSciNet | AMS
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Trad. de : "Kakantai ron"
Index
The theory of commutative fields is a fundamental area of mathematics, particularly in number theory, algebra, and algebraic geometry. However, few books provide sufficient treatment of this topic. This book is a translation of the 1985 updated edition of Nagata's 1967 book; both editions originally appeared in Japanese. Nagata provides an introduction to commutative fields that is useful to those studying the topic for the first time as well as to those wishing a reference book. The book presents, with as few prerequisites as possible, all of the important and fundamental results on commutative fields. Each chapter ends with exercises, making the book suitable as a textbook for graduate courses or for independent study. (Source : AMS)
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