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VOL. 2 | 1971 Chapter II: Field Theory
Emil Artin, Arthur N. Milgram

Editor(s) Arthur N. Milgram

Abstract

Contents

  • A. Extension Fields

  • B. Polynomials

  • C. Algebraic Elements

  • D. Splitting Fields

  • E. Unique Decomposition of Polynomials into Irreducible Factors

  • F. Group Characters

  • G. Applications and Examples to Theorem 13

  • H. Normal Extensions

  • I. Finite Fields

  • J. Roots of Unity

  • K. Noether Equations

  • L. Kummer's Fields

  • M. Simple Extensions

  • N. Existence of a Normal Basis

  • O. Theorem of Natural Rationality

Information

Published: 1 January 1971
First available in Project Euclid: 29 March 2007

Rights: Copyright © 1971, University of Notre Dame

CHAPTER
48 PAGES


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