Algebra II (häftad)
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Format
Häftad (Paperback / softback)
Språk
Franska
Antal sidor
453
Utgivningsdatum
2003-04-01
Upplaga
1st ed. 1990. 2nd printing 2003
Förlag
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Översättare
P M Cohn, J Howie
Originalspråk
French
Medarbetare
Howie, J. (ed.), Cohn, P. M. (ed.)
Illustratör/Fotograf
6 Abb
Illustrationer
VII, 453 p.
Volymtitel
Pt. 2 Chapters 4-7
Dimensioner
235 x 149 x 25 mm
Vikt
600 g
Antal komponenter
1
Komponenter
1 Paperback / softback
ISBN
9783540007067

Algebra II

Chapters 4 - 7

Häftad,  Franska, 2003-04-01
693
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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). 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
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Innehållsförteckning

IV. Polynomials and rational fractions.- V. Commutative fields.- VI. Ordered groups and fields.- VII. Modules over principal ideal domains.- Index of notations.- Index of terminology.