Skip to main content
SpringerLink
Log in
Book cover

Methods of Graded Rings

  • Book
  • © 2004

Overview

Authors:
  1. Constantin Nastasescu
    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Freddy Oystaeyen
    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1836)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (11 chapters)

  1. Front Matter

    Pages I-XIII
    Download chapter PDF

  2. 1. The Category of Graded Rings

    • Constantin Nastasescu, Freddy Van Oystaeyen
    Pages 1-18

  3. 2. The Category of Graded Modules

    • Constantin Nastasescu, Freddy Van Oystaeyen
    Pages 19-79

  4. 3. Modules over Strongly Graded Rings

    • Constantin Nastasescu, Freddy Van Oystaeyen
    Pages 81-113

  5. 4. Graded Clifford Theory

    • Constantin Nastasescu, Freddy Van Oystaeyen
    Pages 115-145

  6. 5. Internal Homogenization

    • Constantin Nastasescu, Freddy Van Oystaeyen
    Pages 147-165

  7. 6. External Homogenization

    • Constantin Nastasescu, Freddy Van Oystaeyen
    Pages 167-185

  8. 7. Smash Products

    • Constantin Nastasescu, Freddy Van Oystaeyen
    Pages 187-221

  9. 8. Localization of Graded Rings

    • Constantin Nastasescu, Freddy Van Oystaeyen
    Pages 223-240

  10. 9. Application to Gradability

    • Constantin Nastasescu, Freddy Van Oystaeyen
    Pages 241-276

  11. Appendix

    • Constantin Nastasescu, Freddy Van Oystaeyen
    Pages 277-289

  12. Bibliography

    • Constantin Nastasescu, Freddy Van Oystaeyen
    Pages 291-302

  13. Back Matter

    Pages 303-304
    Download chapter PDF
Back to top

Keywords

About this book

The topic of this book, graded algebra, has developed in the past decade to a vast subject with new applications in noncommutative geometry and physics. Classical aspects relating to group actions and gradings have been complemented by new insights stemming from Hopf algebra theory. Old and new methods are presented in full detail and in a self-contained way. Graduate students as well as researchers in algebra, geometry, will find in this book a useful toolbox. Exercises, with hints for solution, provide a direct link to recent research publications. The book is suitable for courses on Master level or textbook for seminars.

About the authors

Constantin Nastasescu received his Ph. D. at the University of Bucharest in 1970 and became Prof. Titular in 1990. Since 1993 he is a member of the Roumanian Academy of Sciences. He published more than 125 scientific publications in international journals as well as several monographs and books.

Fred Van Oystaeyen received his Ph. D. from the Free University of Amsterdam in 1972 and became professor at the University of Antwerp in 1975. He published over 225 papers and books and is coordinator of several European research programmes including the programme on noncommutative geometry (NOG) of the European Science Foundation and the project Liegrits of the EC in the 6th Framework Programme, as well as the educational programme on mathematical methods of robotics for ERASMUS.

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation