FREE delivery to all EXCLUSIVE BOOKS stores nationwide. FREE delivery to your door on all orders over R450. Excludes all international deliveries.

Free Ideal Rings and Localization in General Rings

P. M. Cohn
    Product form
      FORMAT: Hardback

      R 8,311.56 Price and availability exclusive to website

      YOU COULD EARN 8,311.56 FUTURE RETAIL DISCOUNTS.
      ESTIMATED DELIVERY: Approx. 10 - 15 Business Days
      BUY NOW PAY LATER
      From R 1,385.26 per month!
      3x monthly payments of R 2,770.52 with
      4x fortnightly payments of R 2,077.89 with
      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.
      Format: CONTRIBUTORS: P. M. Cohn EAN: 9780521853378 COUNTRY: United Kingdom PAGES: WEIGHT: 961 g HEIGHT: 234 cm
      PUBLISHED BY: Cambridge University Press DATE PUBLISHED: 2006-06-08 CITY: GENRE: MATHEMATICS / Algebra / General WIDTH: 160 cm SPINE:

      Book Themes:

      Algebra

      Customer Reviews

      Be the first to write a review
      0%
      (0)
      0%
      (0)
      0%
      (0)
      0%
      (0)
      0%
      (0)
      Paul Cohn is a Emeritus Professor of Mathematics at the University of London and Honorary Research Fellow at University College London.
      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.
      Format: CONTRIBUTORS: P. M. Cohn EAN: 9780521853378 COUNTRY: United Kingdom PAGES: WEIGHT: 961 g HEIGHT: 234 cm
      PUBLISHED BY: Cambridge University Press DATE PUBLISHED: 2006-06-08 CITY: GENRE: MATHEMATICS / Algebra / General WIDTH: 160 cm SPINE:

      Book Themes:

      Algebra

      Customer Reviews

      Be the first to write a review
      0%
      (0)
      0%
      (0)
      0%
      (0)
      0%
      (0)
      0%
      (0)
      Paul Cohn is a Emeritus Professor of Mathematics at the University of London and Honorary Research Fellow at University College London.

      Recently viewed products

      Login

      Forgot your password?

      Don't have an account yet?
      Create account