Skip to content
Register Sign in Wishlist
Free Ideal Rings and Localization in General Rings

Free Ideal Rings and Localization in General Rings

Part of New Mathematical Monographs

  • Date Published: June 2006
  • availability: Available
  • format: Hardback
  • isbn: 9780521853378

Hardback

Add to wishlist

Other available formats:
eBook


Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • Proving that a polynomial ring in one variable over a field is a principal ideal domain can be done by means of the Euclidean algorithm, but this does not extend to more variables. However, if the variables are not allowed to commute, giving a free associative algebra, then there is a generalization, the weak algorithm, which can be used to prove that all one-sided ideals are free. This book presents the theory of free ideal rings (firs) in detail. Particular emphasis is placed on rings with a weak algorithm, exemplified by free associative algebras. There is also a full account of localization which is treated for general rings but the features arising in firs are given special attention. Each section has a number of exercises, including some open problems, and each chapter ends in a historical note.

    • This theory not found in any other book
    • Subject is smoothly developed and well motivated
    • Noncommutative theory has relations to many other topics
    Read more

    Reviews & endorsements

    'This book presents the theory of free ideal rings (firs) in detail.' L'enseignement mathematique

    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: June 2006
    • format: Hardback
    • isbn: 9780521853378
    • length: 594 pages
    • dimensions: 234 x 160 x 34 mm
    • weight: 0.961kg
    • contains: 38 b/w illus. 864 exercises
    • availability: Available
  • Table of Contents

    Preface
    Note to the reader
    Terminology, notations and conventions used
    List of special notation
    0. Preliminaries on modules
    1. Principal ideal domains
    2. Firs, semifirs and the weak algorithm
    3. Factorization
    4. 2-firs with a distributive factor lattice
    5. Modules over firs and semifirs
    6. Centralizers and subalgebras
    7. Skew fields of fractions
    Appendix
    Bibliography and author index
    Subject index.

  • Author

    P. M. Cohn, University College London
    Paul Cohn is a Emeritus Professor of Mathematics at the University of London and Honorary Research Fellow at University College London.

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 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 ×
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.

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.
×