A first course in noncommutative rings

2nd ed.
  • 0 Ratings
  • 2 Want to read
  • 0 Currently reading
  • 0 Have read
Not in Library

My Reading Lists:

Create a new list

Check-In

×Close
Add an optional check-in date. Check-in dates are used to track yearly reading goals.
Today

  • 0 Ratings
  • 2 Want to read
  • 0 Currently reading
  • 0 Have read


Download Options

Buy this book

Last edited by ImportBot
February 26, 2022 | History

A first course in noncommutative rings

2nd ed.
  • 0 Ratings
  • 2 Want to read
  • 0 Currently reading
  • 0 Have read

This edition doesn't have a description yet. Can you add one?

Publish Date
Publisher
Springer
Language
English
Pages
385

Buy this book

Previews available in: English

Edition Availability
Cover of: A first course in noncommutative rings
A first course in noncommutative rings
2001, Springer
in English - 2nd ed.
Cover of: A First Course in Noncommutative Rings
A First Course in Noncommutative Rings
1991, Springer
Cover of: A first course in noncommutative rings
A first course in noncommutative rings
1991, Springer-Verlag
in English

Add another edition?

Book Details


Published in

New York

Table of Contents

Machine generated contents note: CHAPTER 1
Wedderburn-Artin Theory
1. Basic Terminology and Examples
Exercises for 1
2. Semisimplicity
Exercises for 2
3. Structure of Semisimple Rings
Exercises for 3
CHAPTER 2
Jacobson Radical Theory
4. The Jacobson Radical
Exercises for 4
5. Jacobson Radical Under Change of Rings
Exercises for 5
6. Group Rings and the J-Semisimplicity Problem
Exercises for 6
CHAPTER 3
Introduction to Representation Theory
7. Modules over Finite-Dimensional Algebras
Exercises for 7
8. Representations of Groups
Exercises for 8
9. Linear Groups
Exercises for 9 CHAPTER 4
Prime and Primitive Rings
10. The Prime Radical; Prime and Semiprime Rings
Exercises for 10
11. Structure of Primitive Rings; the Density Theorem
Exercises for 11
12. Subdirect Products and Commutativity Theorems
Exercises for 12 CHAPTER 5
Introduction to Division Rings
13. Division Rings
Exercises for 13
14. Some Classical Constructions
Exercises for 14
15. Tensor Products and Maximal Subfields
Exercises for 15
16. Polynomials over Division Rings
Exercises for 16 CHAPTER 6
Ordered Structures in Rings
17. Orderings and Preorderings in Rings
Exercises for 17
18. Ordered Division Rings
Exercises for 18 CHAPTER 7
Local Rings, Semilocal Rings, and Idempotents
19. Local Rings
Exercises for 19
20. Semilocal Rings
Appendix: Endomorphism Rings of Uniserial Modules
Exercises for 20
21. Th Theory of Idempotents
Exercises for 21
22. Central Idempotents and Block Decompositions
Exercises for 22
CHAPTER 8
Perfect and Semiperfect Rings
23. Perfect and Semiperfect Rings
Exercises for 23
24. Homological Characterizations of Perfect and Semiperfect Rings
Exercises for 24
25. Principal Indecomposables and Basic Rings
Exercises for 25.

Edition Notes

Includes bibliographical references (p. 370-371) and index.

Series
Graduate texts in mathematics ;, 131

Classifications

Dewey Decimal Class
512/.4
Library of Congress
QA251.4 .L36 2001, QA150-272

The Physical Object

Pagination
xix, 385 p. ;
Number of pages
385

ID Numbers

Open Library
OL6790440M
Internet Archive
firstcoursenonco00lamt
ISBN 10
0387951830
LCCN
00052277
Goodreads
2297237

Community Reviews (0)

Feedback?
No community reviews have been submitted for this work.

Lists

See All

History

Download catalog record: RDF / JSON
February 26, 2022 Edited by ImportBot import existing book
February 25, 2022 Edited by ImportBot import existing book
September 2, 2014 Edited by Ana Tarazona Edited without comment.
April 28, 2010 Edited by Open Library Bot Linked existing covers to the work.
December 9, 2009 Created by WorkBot add works page