Skip to content
Register Sign in Wishlist

Modules over Endomorphism Rings

Part of Encyclopedia of Mathematics and its Applications

  • Date Published: October 2009
  • availability: Available
  • format: Hardback
  • isbn: 9780521199605

Hardback

Add to wishlist

Other available formats:
eBook


Looking for an inspection copy?

This title is not currently available for inspection. However, if you are interested in the title for your course we can consider offering an inspection copy. To register your interest please contact asiamktg@cambridge.org providing details of the course you are teaching.

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • This is an extensive synthesis of recent work in the study of endomorphism rings and their modules, bringing together direct sum decompositions of modules, the class number of an algebraic number field, point set topological spaces, and classical noncommutative localization. The main idea behind the book is to study modules G over a ring R via their endomorphism ring EndR(G). The author discusses a wealth of results that classify G and EndR(G) via numerous properties, and in particular results from point set topology are used to provide a complete characterization of the direct sum decomposition properties of G. For graduate students this is a useful introduction, while the more experienced mathematician will discover that the book contains results that are not otherwise available. Each chapter contains a list of exercises and problems for future research, which provide a springboard for students entering modern professional mathematics.

    • Contains over 200 exercises as well as problems for further research
    • Serves as an introduction for graduate students wishing to study modules over endomorphism rings and related problems
    • Presents results and perspectives that are not available elsewhere
    Read more

    Reviews & endorsements

    'Theodore Faticoni enriches the mathematical literature with a comprehensive and up-to-date account of the study of a large class of abelian groups presenting all the relevant results in a very well organised fashion … the book is a succession of very sharp results, which are the fruits of methodical and thorough investigations started about 40 years ago by the author. Page after page, Faticoni engages the reader in a friendly mathematical discussion. As incentive, he provides some historical motivations for the questions he considers, for example, the classification of algebraic number fields, which goes back to Gauss and Kummer, while numerous examples, exercises and problems for future research at the end of each chapter will certainly provide the reader with some stimulating challenges.' Bulletin of the London Mathematical Society

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: October 2009
    • format: Hardback
    • isbn: 9780521199605
    • length: 392 pages
    • dimensions: 240 x 160 x 25 mm
    • weight: 0.73kg
    • contains: 210 exercises
    • availability: Available
  • Table of Contents

    Preface
    1. Preliminary results
    2. Class number of an Abelian group
    3. Mayer-Vietoris sequences
    4. Lifting units
    5. The conductor
    6. Conductors and groups
    7. Invertible fractional ideals
    8. L-Groups
    9. Modules and homotopy classes
    10
    Tensor functor equivalences
    11. Characterizing endomorphisms
    12. Projective modules
    13. Finitely generated modules
    14. Rtffr E-projective groups
    15. Injective endomorphism modules
    16. A diagram of categories
    17. Diagrams of Abelian groups
    18. Marginal isomorphisms
    References
    Index.

  • Author

    Theodore G. Faticoni, Fordham University, New York
    Theodore G. Faticoni is Associate Professor in the Mathematics Department at Fordham University, New York.

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×