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Fields and Rings

Edition: 
2
Publisher: 
University of Chicago Press
Number of Pages: 
207
Price: 
27.00
ISBN: 
0-226-42451-0
Date Received: 
Tuesday, February 1, 2005
Reviewable: 
Yes
Include In BLL Rating: 
Yes
Irving Kaplansky
Series: 
Chicago Lectures in Mathematics Series
Publication Date: 
1995
Format: 
Paperback
Category: 
Monograph
BLL Committee
02/12/2009
BLL Rating: 
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
Publish Book: 
Modify Date: 
Thursday, February 12, 2009

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