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Beschreibung
This is a softcover reprint of the English translation of 1990 of the revised and expanded version of Bourbaki's, Algèbre , Chapters 4 to 7 (1981). This completes 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, regularextensions. 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 Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
16.04.2003
Sprache
Englisch
EAN
9783540007067
Herausgeber
Springer Berlin
Sonderedition
Nein
Autor
N. Bourbaki
Seitenanzahl
453
Einbandart
Broschiert
Buch Untertitel
Chapters 4 - 7
Übersetzt von
P.M. Cohn
Schlagwörter
MSC (2000): 12-02, 13-02, 12Fxx, 12J15, 13F10, 13C10, 12E05,, YellowSale2006, commutative fields, ordered fields, ordered groups, polynomials, power series, principal ideal domains, rational fractions, algebra, finite field, Galois theory, polynomial, torsion
Thema-Inhalt
PBF - Algebra
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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