The Resource Lectures on Modules and Rings, by Tsit-Yuen Lam, (electronic resource)

Lectures on Modules and Rings, by Tsit-Yuen Lam, (electronic resource)

Label
Lectures on Modules and Rings
Title
Lectures on Modules and Rings
Statement of responsibility
by Tsit-Yuen Lam
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
Textbook writing must be one of the cruelest of self-inflicted tortures. - Carl Faith Math Reviews 54: 5281 So why didn't I heed the warning of a wise colleague, especially one who is a great expert in the subject of modules and rings? The answer is simple: I did not learn about it until it was too late! My writing project in ring theory started in 1983 after I taught a year-long course in the subject at Berkeley. My original plan was to write up my lectures and publish them as a graduate text in a couple of years. My hopes of carrying out this plan on schedule were, however, quickly dashed as I began to realize how much material was at hand and how little time I had at my disposal. As the years went by, I added further material to my notes, and used them to teach different versions of the course. Eventually, I came to the realization that writing a single volume would not fully accomplish my original goal of giving a comprehensive treatment of basic ring theory. At the suggestion of Ulrike Schmickler-Hirzebruch, then Mathematics Editor of Springer-Verlag, I completed the first part of my project and published the write­ up in 1991 as A First Course in Noncommutative Rings, GTM 131, hereafter referred to as First Course (or simply FC)
Member of
http://library.link/vocab/creatorName
Lam, Tsit-Yuen
Dewey number
512
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
FnEFxDG_zAk
Image bit depth
0
Language note
English
LC call number
QA150-272
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Graduate Texts in Mathematics,
Series volume
189
http://library.link/vocab/subjectName
  • Algebra
  • Algebra
Label
Lectures on Modules and Rings, by Tsit-Yuen Lam, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references at the end of each chapters and indexes
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
1 Free Modules, Projective, and Injective Modules -- 1. Free Modules -- 2. Projective Modules -- 3. Injective Modules -- 31. Matlis’ Theory -- 2 Flat Modules and Homological Dimensions -- 4. Flat and Faithfully Flat Modules -- 41. Faithfully Flat Modules -- 5. Homological Dimensions -- 3 More Theory of Modules -- 6. Uniform Dimensions, Complements, and CS Modules -- 7. Singular Submodules and Nonsingular Rings -- 8. Dense Submodules and Rational Hulls -- 4 Rings of Quotients -- 9. Noncommutative Localization -- 10. Classical Rings of Quotients -- 11. Right Goldie Rings and Goldie’s Theorems -- 12. Artinian Rings of Quotients -- 5 More Rings of Quotients -- 13. Maximal Rings of Quotients -- 14. Martindale Rings of Quotients -- 6 Frobenius and Quasi-Frobenius Rings -- 15. Quasi-Frobenius Rings -- 16. Frobenius Rings and Symmetric Algebras -- 7 Matrix Rings, Categories of Modules, and Morita Theory -- 17. Matrix Rings -- 18. Morita Theory of Category Equivalences -- 19. Morita Duality Theory -- References -- Name Index
Dimensions
unknown
Edition
1st ed. 1999.
Extent
1 online resource (XXIII, 557 p.)
File format
multiple file formats
Form of item
online
Isbn
9781461205258
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4612-0525-8
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000089166
  • (SSID)ssj0001297369
  • (PQKBManifestationID)11772788
  • (PQKBTitleCode)TC0001297369
  • (PQKBWorkID)11354715
  • (PQKB)10357110
  • (DE-He213)978-1-4612-0525-8
  • (MiAaPQ)EBC3074652
  • (EXLCZ)993400000000089166
Label
Lectures on Modules and Rings, by Tsit-Yuen Lam, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references at the end of each chapters and indexes
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
1 Free Modules, Projective, and Injective Modules -- 1. Free Modules -- 2. Projective Modules -- 3. Injective Modules -- 31. Matlis’ Theory -- 2 Flat Modules and Homological Dimensions -- 4. Flat and Faithfully Flat Modules -- 41. Faithfully Flat Modules -- 5. Homological Dimensions -- 3 More Theory of Modules -- 6. Uniform Dimensions, Complements, and CS Modules -- 7. Singular Submodules and Nonsingular Rings -- 8. Dense Submodules and Rational Hulls -- 4 Rings of Quotients -- 9. Noncommutative Localization -- 10. Classical Rings of Quotients -- 11. Right Goldie Rings and Goldie’s Theorems -- 12. Artinian Rings of Quotients -- 5 More Rings of Quotients -- 13. Maximal Rings of Quotients -- 14. Martindale Rings of Quotients -- 6 Frobenius and Quasi-Frobenius Rings -- 15. Quasi-Frobenius Rings -- 16. Frobenius Rings and Symmetric Algebras -- 7 Matrix Rings, Categories of Modules, and Morita Theory -- 17. Matrix Rings -- 18. Morita Theory of Category Equivalences -- 19. Morita Duality Theory -- References -- Name Index
Dimensions
unknown
Edition
1st ed. 1999.
Extent
1 online resource (XXIII, 557 p.)
File format
multiple file formats
Form of item
online
Isbn
9781461205258
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4612-0525-8
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000089166
  • (SSID)ssj0001297369
  • (PQKBManifestationID)11772788
  • (PQKBTitleCode)TC0001297369
  • (PQKBWorkID)11354715
  • (PQKB)10357110
  • (DE-He213)978-1-4612-0525-8
  • (MiAaPQ)EBC3074652
  • (EXLCZ)993400000000089166

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