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{ "item_title" : "Free Ideal Rings and Localization in General Rings", "item_author" : [" P. M. Cohn "], "item_description" : "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.", "item_img_path" : "https://covers3.booksamillion.com/covers/bam/0/52/185/337/0521853370_b.jpg", "price_data" : { "retail_price" : "228.00", "online_price" : "228.00", "our_price" : "228.00", "club_price" : "228.00", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Free Ideal Rings and Localization in General Rings|P. M. Cohn

Free Ideal Rings and Localization in General Rings

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Overview

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.

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Details

  • ISBN-13: 9780521853378
  • ISBN-10: 0521853370
  • Publisher: Cambridge University Press
  • Publish Date: June 2006
  • Dimensions: 9 x 6 x 1.4 inches
  • Shipping Weight: 2.1 pounds
  • Page Count: 594

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