Picture 1 of 1

Stock photo

Fields and Rings (Paperback or Softback) - Picture 1 of 1

Chicago Lectures in Mathematics Ser.: Fields and Rings by Irving Kaplansky (1995, Trade Paperback)

Bargain Book Stores (1133416)

99.2% positive Feedback

Price:

US $53.57

Approximately£39.91

+ $10.50 postage

Estimated delivery Mon, 28 Jul - Wed, 13 Aug

Returns:

No returns, but backed by the eBay Money Back Guarantee.

Condition:

New

Format: Paperback or Softback. ISBN: 9780226424514. Your source for quality books at reduced prices. Condition Guide. Item Availability.

About this product

Product Identifiers

PublisherUniversity of Chicago Press

ISBN-100226424510

ISBN-139780226424514

eBay Product ID (ePID)84644

Product Key Features

Number of Pages207 Pages

Publication NameFields and Rings

LanguageEnglish

SubjectAlgebra / Abstract, General, Algebra / General

Publication Year1995

FeaturesRevised

TypeTextbook

Subject AreaMathematics

AuthorIrving Kaplansky

SeriesChicago Lectures in Mathematics Ser.

FormatTrade Paperback

Dimensions

Item Height0.1 in

Item Weight8.6 Oz

Item Length0.8 in

Item Width0.5 in

Additional Product Features

Edition Number2

Intended AudienceScholarly & Professional

LCCN72-078251

Dewey Edition18

Dewey Decimal512/.815

Table Of ContentPreface 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

Edition DescriptionRevised edition

SynopsisThis book combines in one volume Irving Kaplansky's lecture notes on the theory of fields, ring theory, and homological dimensions of rings and modules. "In all three parts of this book the author lives up to his reputation as a first-rate mathematical stylist. Throughout the work the clarity and precision of the presentation is not only a source of constant pleasure but will enable the neophyte to master the material here presented with dispatch and ease."-A. Rosenberg, Mathematical Reviews, 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. "In all three parts of this book the author lives up to his reputation as a first-rate mathematical stylist. Throughout the work the clarity and precision of the presentation is not only a source of constant pleasure but will enable the neophyte to master the material here presented with dispatch and ease."--A. Rosenberg, Mathematical Reviews

LC Classification NumberQA247