Fields and Rings

Häftad, Engelska, 1995

Del i serien Chicago Lectures in Mathematics Series CLM

342 kr

Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.

Beskrivning

This book combines in one volume Irving Kaplansky's lecture notes on the theory of fields, ring theory, and homological dimensions of rings and modules.

Produktinformation

Utgivningsdatum:1995-02-27
Mått:13 x 20 x 1 mm
Vikt:284 g
Format:Häftad
Språk:Engelska
Serie:Chicago Lectures in Mathematics Series CLM
Antal sidor:207
Upplaga:2
Förlag:The University of Chicago Press
ISBN:9780226424514

Utforska kategorier

Algebra inom Naturvetenskap och teknik

Innehållsförteckning

Preface Pt. I: Fields 1: Field extensions 2: Ruler and compass constructions 3: Foundations of Galois theory 4: Normality and stability 5: Splitting fields 6: Radical extensions 7: The trace and norm theorems 8: Finite fields 9: Simple extensions 10: Cubic and quartic equations 11: Separability 12: Miscellaneous results on radical extensions 13: Infinite algebraic extensions Pt. II: Rings 1: The radical 2: Primitive rings and the density theorem 3: Semi-simple rings 4: The Wedderburn principal theorem 5: Theorems of Hopkins and Levitzki 6: Primitive rings with minimal ideals and dual vector spaces 7: Simple rings Pt. III: Homological Dimension 1: Dimension of modules 2: Global dimension 3: First theorem on change of rings 4: Polynomial rings 5: Second theorem on change of rings 6: Third theorem on change of rings 7: Localization 8: Preliminary lemmas 9: A regular ring has finite global dimension 10: A local ring of finite global dimension is regular 11: Injective modules 12: The group of homomorphisms 13: The vanishing of Ext 14: Injective dimension Notes Index

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Fields and Rings

AvIrving Kaplansky

Häftad, Engelska, 1995

Del i serien Chicago Lectures in Mathematics Series CLM

342 kr

Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.

Beskrivning

This book combines in one volume Irving Kaplansky's lecture notes on the theory of fields, ring theory, and homological dimensions of rings and modules.

Produktinformation

Utgivningsdatum:1995-02-27
Mått:13 x 20 x 1 mm
Vikt:284 g
Format:Häftad
Språk:Engelska
Serie:Chicago Lectures in Mathematics Series CLM
Antal sidor:207
Upplaga:2
Förlag:The University of Chicago Press
ISBN:9780226424514

Utforska kategorier

Algebra inom Naturvetenskap och teknik

Innehållsförteckning

Preface Pt. I: Fields 1: Field extensions 2: Ruler and compass constructions 3: Foundations of Galois theory 4: Normality and stability 5: Splitting fields 6: Radical extensions 7: The trace and norm theorems 8: Finite fields 9: Simple extensions 10: Cubic and quartic equations 11: Separability 12: Miscellaneous results on radical extensions 13: Infinite algebraic extensions Pt. II: Rings 1: The radical 2: Primitive rings and the density theorem 3: Semi-simple rings 4: The Wedderburn principal theorem 5: Theorems of Hopkins and Levitzki 6: Primitive rings with minimal ideals and dual vector spaces 7: Simple rings Pt. III: Homological Dimension 1: Dimension of modules 2: Global dimension 3: First theorem on change of rings 4: Polynomial rings 5: Second theorem on change of rings 6: Third theorem on change of rings 7: Localization 8: Preliminary lemmas 9: A regular ring has finite global dimension 10: A local ring of finite global dimension is regular 11: Injective modules 12: The group of homomorphisms 13: The vanishing of Ext 14: Injective dimension Notes Index