skip to content
A first course in noncommutative rings Preview this item
ClosePreview this item
Checking...

A first course in noncommutative rings

Author: Tsit-Yuen Lam
Publisher: New York : Springer, ©2001.
Series: Graduate texts in mathematics, 131.
Edition/Format:   Print book : English : 2nd edView all editions and formats
Summary:

Aimed at the novice rather than the connoisseur and stressing the role of examples and motivation, this text is suitable not only for use in a graduate course, but also for self-study in the subject  Read more...

Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Tsit-Yuen Lam
ISBN: 0387951830 9780387951836
OCLC Number: 318414063
Target Audience: Pregrado
Description: xix, 385 p. ; 25 cm.
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.
Series Title: Graduate texts in mathematics, 131.
Responsibility: T.Y. Lam.
More information:

Reviews

Editorial reviews

Publisher Synopsis

From the reviews of the second edition:"Ten years ago, the first edition ... of this book appeared. It is quite rare that a book can become a classic in such a short time, but this did happen for Read more...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/318414063> # A first course in noncommutative rings
    a schema:CreativeWork, schema:Book ;
   library:oclcnum "318414063" ;
   library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/nyu> ;
   schema:about <http://dewey.info/class/512.4/e21/> ;
   schema:about <http://experiment.worldcat.org/entity/work/data/2642469#Topic/representacion_de_grupos_matematicas> ; # Representación de grupos (Matemáticas)
   schema:about <http://experiment.worldcat.org/entity/work/data/2642469#Topic/anillos_no_conmutativos> ; # Anillos no conmutativos
   schema:bookEdition "2nd ed." ;
   schema:bookFormat bgn:PrintBook ;
   schema:contentRating "Pregrado" ;
   schema:copyrightYear "2001" ;
   schema:creator <http://viaf.org/viaf/94612936> ; # Tsit-Yuen Lam
   schema:datePublished "2001" ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/2642469> ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/2642469#Series/graduate_texts_in_mathematics> ; # Graduate texts in mathematics ;
   schema:name "A first course in noncommutative rings" ;
   schema:numberOfPages "385" ;
   schema:productID "318414063" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/318414063#PublicationEvent/new_york_springer_2001> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/2642469#Agent/springer> ; # Springer
   schema:url <http://catdir.loc.gov/catdir/toc/fy031/00052277.html> ;
   schema:workExample <http://worldcat.org/isbn/9780387951836> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/318414063> ;
    .


Related Entities

<http://dbpedia.org/resource/New_York_City> # New York
    a schema:Place ;
   schema:name "New York" ;
    .

<http://experiment.worldcat.org/entity/work/data/2642469#Series/graduate_texts_in_mathematics> # Graduate texts in mathematics ;
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/318414063> ; # A first course in noncommutative rings
   schema:name "Graduate texts in mathematics ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/2642469#Topic/anillos_no_conmutativos> # Anillos no conmutativos
    a schema:Intangible ;
   schema:name "Anillos no conmutativos" ;
    .

<http://experiment.worldcat.org/entity/work/data/2642469#Topic/representacion_de_grupos_matematicas> # Representación de grupos (Matemáticas)
    a schema:Intangible ;
   schema:name "Representación de grupos (Matemáticas)" ;
    .

<http://viaf.org/viaf/94612936> # Tsit-Yuen Lam
    a schema:Person ;
   schema:birthDate "1942" ;
   schema:familyName "Lam" ;
   schema:givenName "Tsit-Yuen" ;
   schema:name "Tsit-Yuen Lam" ;
    .

<http://worldcat.org/isbn/9780387951836>
    a schema:ProductModel ;
   schema:isbn "0387951830" ;
   schema:isbn "9780387951836" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.