Algebra II: Chapters 4-7 (Pt.2) free ebook download.

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Algebra II: Chapters 4-7 (Pt.2) free ebook download

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Author(s):	Nicolas Bourbaki

Date:	1990-11-26	Format:	pdf	Language:	English	ISBN/ASIN:	3540193758
Pages:	422	OCR:		Quality:		ISBN13:	9783540193753
Uploader:	eternal	Upload Date:	12/15/2014 11:15:39 PM

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This is a softcover reprint of the English translation of 1990 of the revised and expanded version of Bourbaki's, Algebre, 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, 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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1307303	Book	http://k2s.cc/file/391b7d18679c3...		22.00	eternal

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