{"product_id":"free-ideal-rings-and-localization-p-m-cohn-9780521853378","title":"Free Ideal Rings and Localization in General Rings","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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e P. M. Cohn\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0521853370\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780521853378\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Cambridge University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 07\/03\/2006\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 594\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 2.10lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.00h x 6.00w x 1.40d","brand":"P. M. Cohn","offers":[{"title":"Hardcover","offer_id":45896433303807,"sku":"9780521853378","price":205.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_a2307772-63c6-4d55-b19a-d062863c2f94.jpg?v=1721371391","url":"https:\/\/www.whiterainbookhouse.com\/products\/free-ideal-rings-and-localization-p-m-cohn-9780521853378","provider":"WR Book House","version":"1.0","type":"link"}