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Free Ideal Rings and Localization in General Rings

by P. M. Cohn
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Current price ₹13,327.00
Original price ₹20,502.00
Original price ₹20,502.00
Original price ₹20,502.00
(-35%)
₹13,327.00
Current price ₹13,327.00

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Book cover type: Hardcover
  • ISBN13: 9780521853378
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date: N/A
  • Pages: 594
  • Original Price: GBP 165.0
  • Language: English
  • Edition: N/A
  • Item Weight: 953 grams
  • BISAC Subject(s): Algebra / General

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. There is also a full account of localization which is treated for general rings but the features arising in firs are given special attention.

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

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