Skip to content
Register Sign in Wishlist
Corings and Comodules

Corings and Comodules


Part of London Mathematical Society Lecture Note Series

  • Date Published: September 2003
  • availability: Available
  • format: Paperback
  • isbn: 9780521539319

£ 67.99

Add to cart Add to wishlist

Other available formats:

Looking for an inspection copy?

This title is not currently available on inspection

Product filter button
About the Authors
  • Corings and comodules are fundamental algebraic structures, which can be thought of as both dualisations and generalisations of rings and modules. Introduced by Sweedler in 1975, only recently they have been shown to have far reaching applications ranging from the category theory including differential graded categories through classical and Hopf-type module theory to non-commutative geometry and mathematical physics. This is the first extensive treatment of the theory of corings and their comodules. In the first part, the module-theoretic aspects of coalgebras over commutative rings are described. Corings are then defined as coalgebras over non-commutative rings. Topics covered include module-theoretic aspects of corings, such as the relation of comodules to special subcategories of the category of modules (sigma-type categories), connections between corings and extensions of rings, properties of new examples of corings associated to entwining structures, generalisations of bialgebras such as bialgebroids and weak bialgebras, and the appearance of corings in non-commutative geometry.

    • First book devoted to the rapidly developing theory of corings
    • Provides connections with other branches of pure mathematics and mathematical physics
    • Incorporates most recent developments
    • Developing the module-theoretic aspects of corings it extends the theory of Hopf algebras and quantum groups
    • Self-contained exposition with expanded appendices, which makes it suitable for graduate students
    Read more

    Reviews & endorsements

    'This book is clearly written and it is the first account of what is known about coring theory. The book can be used as a textbook for a very good graduate course in coalgebras and corings. It will also help to develop and increase the interest in the theory of corings. I also expect that it will be a standard reference for corings in the future.' Zentralblatt MATH

    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: September 2003
    • format: Paperback
    • isbn: 9780521539319
    • length: 490 pages
    • dimensions: 230 x 153 x 26 mm
    • weight: 0.671kg
    • availability: Available
  • Table of Contents

    1. Coalgebras and comodules
    2. Bialgebras and hopf algebras
    3. Corings and comodules
    4. Corings and extensions of rings
    5. Corings and entwining structures
    6. Weak corings and entwining

  • Resources for

    Corings and Comodules

    Tomasz Brzezinski, Robert Wisbauer

    General Resources

    Find resources associated with this title

    Type Name Unlocked * Format Size

    Showing of

    Back to top

    This title is supported by one or more locked resources. Access to locked resources is granted exclusively by Cambridge University Press to lecturers whose faculty status has been verified. To gain access to locked resources, lecturers should sign in to or register for a Cambridge user account.

    Please use locked resources responsibly and exercise your professional discretion when choosing how you share these materials with your students. Other lecturers may wish to use locked resources for assessment purposes and their usefulness is undermined when the source files (for example, solution manuals or test banks) are shared online or via social networks.

    Supplementary resources are subject to copyright. Lecturers are permitted to view, print or download these resources for use in their teaching, but may not change them or use them for commercial gain.

    If you are having problems accessing these resources please contact

  • Authors

    Tomasz Brzezinski, University of Wales, Swansea

    Robert Wisbauer, Heinrich-Heine-Universität Düsseldorf

Related Books

Sorry, this resource is locked

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

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 Please see the permission section of the catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon

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.


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.