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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Free Ideal Rings and Localization in General Rings

Free Ideal Rings and Localization in General Rings

Cohn, P. M.

Hardcover

Series: New Mathematical Monographs, Book 3

Algebra

ISBN10: 0521853370
ISBN13: 9780521853378
Publisher: Cambridge University Press
Published: Jun 8 2006
Pages: 594
Weight: 2.10
Height: 1.40 Width: 6.00 Depth: 9.00
Language: English
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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