Ring Theory
eBook - PDF

Ring Theory

Proceedings of a Conference on Ring Theory Held in Park City, Utah, March 2–6, 1971

  1. 396 pages
  2. English
  3. PDF
  4. Only available on web
eBook - PDF

Ring Theory

Proceedings of a Conference on Ring Theory Held in Park City, Utah, March 2–6, 1971

Book details
Table of contents
Citations

About This Book

Ring Theory provides information pertinent to the fundamental aspects of ring theory. This book covers a variety of topics related to ring theory, including restricted semi-primary rings, finite free resolutions, generalized rational identities, quotient rings, idealizer rings, identities of Azumaya algebras, endomorphism rings, and some remarks on rings with solvable units. Organized into 24 chapters, this book begins with an overview of the characterization of restricted semi-primary rings. This text then examines the case where K is a Hensel ring and A is a separable algebra. Other chapters consider establishing the basic properties of the four classes of projective modules, with emphasis on the finitely generated case. This book discusses as well the non-finitely generated cases and studies infinitely generated projective modules. The final chapter deals with abelian groups G that are injective when viewed as modules over their endomorphism rings E(G). This book is a valuable resource for mathematicians.

Frequently asked questions

Simply head over to the account section in settings and click on “Cancel Subscription” - it’s as simple as that. After you cancel, your membership will stay active for the remainder of the time you’ve paid for. Learn more here.
At the moment all of our mobile-responsive ePub books are available to download via the app. Most of our PDFs are also available to download and we're working on making the final remaining ones downloadable now. Learn more here.
Both plans give you full access to the library and all of Perlego’s features. The only differences are the price and subscription period: With the annual plan you’ll save around 30% compared to 12 months on the monthly plan.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes, you can access Ring Theory by Robert Gordon in PDF and/or ePUB format, as well as other popular books in Mathematik & Algebra. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2014
ISBN
9781483274157
Topic
Mathematik
Subtopic
Algebra

Table of contents

  1. Front Cover
  2. Ring Theory
  3. Copyright Page
  4. Table of Contents
  5. CONTRIBUTORS
  6. PREFACE
  7. CHAPTER 1. RESTRICTED SEMIPRIMARY RINGS
  8. CHAPTER 2. ALGEBRAS WITH HOCHSCHILD DIMENSION ≤ 1
  9. CHAPTER 3. HEREDITARILY AND COHEREDITARILY PROJECTIVE MODULES
  10. CHAPTER 4. LIFTING MODULES AND A THEOREM ON FINITE FREE RESOLUTIONS
  11. CHAPTER 5. ON THE AUTOMORPHISM SCHEMEOF A PURELY INSEPARABLE FIELD EXTENSION
  12. CHAPTER 6. GENERALIZED RATIONAL IDENTITIES
  13. CHAPTER 7. K2 OF POLYNOMIAL RINGS AND OF FREE ALGEBRAS
  14. CHAPTER 8. TRIVIAL EXTENSIONS OF ABELIAN CATEGORIES AND APPLICATIONS TO RINGS: AN EXPOSITORY ACCOUNT
  15. CHAPTER 9. HIGHER K-FUNCTORS
  16. CHAPTER 10. PROPERTIES OF THE IDEALISER
  17. CHAPTER 11. STRUCTURE AND CLASSIFICATION OF HEREDITARY NOETHERIAN PRIME RINGS
  18. CHAPTER 12. ON THE REPRESENTATION OF MODULESBY SHEAVES OF MODULES OF QUOTIENTS
  19. CHAPTER 13. SOME REMARKS ON RINGS WITH SOLVABLE UNITS
  20. CHAPTER 14. QUASI-SIMPLE MODULES AND WEAK TRANSITIVITY
  21. CHAPTER 15. PRIME RIGHT IDEALS AND RIGHT NOETHERIAN RINGS
  22. CHAPTER 16. QUOTIENT RINGS
  23. CHAPTER 17. ON THE IDENTITIES OF AZUMAYA ALGEBRAS
  24. CHAPTER 18. BETTI NUMBERS AND REFLEXIVE MODULES
  25. CHAPTER 19. IDEALIZER RINGS
  26. CHAPTER 20. PERFECT PROJECTORS AND PERFECT INJECTORS
  27. CHAPTER 21. LINEARLY COMPACT MODULES AND LOCAL MORITA DUALITY
  28. CHAPTER 22. IDEALS IN FINITELY-GENERATED PI-ALGEBRAS
  29. CHAPTER 23. INTRODUCTION TO GROUPS OF SIMPLE ALGEBRAS
  30. CHAPTER 24. MODULES OVER PIDs THAT ARE INJECTIVEOVER THEIR ENDOMORPHISM RINGS
  31. PROBLEMS