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Theory of commutative fields

Author: Masayoshi Nagata
Publisher: Providence, R.I. : American Mathematical Society, ©1993.
Series: Translations of mathematical monographs, 125.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Nagata, Masayoshi, 1927-2008.
Theory of commutative fields.
Providence, R.I. : American Mathematical Society, ©1993
(DLC) 93006503
(OCoLC)27266202
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Masayoshi Nagata
ISBN: 9781470445331 1470445336
OCLC Number: 1031934023
Description: 1 online resource.
Contents: Chapter 0. Prerequisites from set theory Chapter I. Groups, rings, and fields Chapter II. Algebraic extensions of finite degrees Chapter III. Transcendental extensions Chapter IV. Valuations Chapter V. Formally real fields Chapter VI. Galois theory of algebraic extensions of infinite degree
Series Title: Translations of mathematical monographs, 125.
Other Titles: Kakantairon.
Responsibility: Masayoshi Nagata ; translated by Masayoshi Nagata.

Abstract:

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 commutati.

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