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Algebra II: Chapters 4 - 7: Pt. 2 (Elements of Mathematics) - Softcover

 
9783540007067: Algebra II: Chapters 4 - 7: Pt. 2 (Elements of Mathematics)

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This is a softcover reprint of chapters four through seven of the 1990 English translation of the revised and expanded version of Bourbaki's Algebre. Much material was added or revised for this edition, which thoroughly establishes the theories of commutative fields and modules over a principal ideal domain.

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9783540193753: Algebra, Pt.2 (Elements of Mathematics)

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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This is a softcover reprint of chapters four through seven of the 1990 English translation of the revised and expanded version of Bourbaki's Algebre. Much material was added or revised for this edition, which thoroughly establishes the theories of commutative fields and modules over a principal ideal domain. 464 pp. Englisch. Seller Inventory # 9783540007067

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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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). 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, 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 FractionsChapter V: Commutative FieldsChapter VI: Ordered Groups and FieldsChapter VII: Modules Over Principal Ideal Domains. Seller Inventory # 9783540007067

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