Item description for Algebra II: Chapters 4-7 (Elements of Mathematics) by P.M. Cohn Nicolas Bourbaki...
This is a softcover reprint of the English translation of 1990 of the revised and expanded version of Bourbaki's, Algbre, Chapters 4 to 7 (1981).
Thiscompletes Algebra, 1 to 3, by establishing the theories of commutative fields and modules over a principal ideal domain. Chapter 4 deals with polynomials, rational fractions and power series. A section on symmetric tensors and polynomial mappings between modules, and a final one on symmetric functions, have been added. Chapter 5 was entirely rewritten. After the basic theory of extensions (prime fields, algebraic, algebraically closed, radical extension), separable algebraic extensions are investigated, giving way to a section on Galois theory. Galois theory is in turn applied to finite fields and abelian extensions. The chapter then proceeds to the study of general non-algebraic extensions which cannot usually be found in textbooks: p-bases, transcendental extensions, separability criterions, regular extensions. Chapter 6 treats ordered groups and fields and based on it is Chapter 7: modules over a p.i.d. studies of torsion modules, free modules, finite type modules, with applications to abelian groups and endomorphisms of vector spaces. Sections on semi-simple endomorphisms and Jordan decomposition have been added.
Chapter IV: Polynomials and Rational Fractions
Chapter V: Commutative Fields
Chapter VI: Ordered Groups and Fields
Chapter VII: Modules Over Principal Ideal Domains
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Est. Packaging Dimensions: Length: 9.3" Width: 6.1" Height: 1" Weight: 1.45 lbs.
Release Date Jul 29, 2003
ISBN 3540007067 ISBN13 9783540007067
Availability 126 units. Availability accurate as of May 26, 2017 03:55.
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