{"product_id":"free-ideal-rings-and-localization-in-general-rings-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\u003ePublisher:\u003c\/b\u003e Cambridge University Press\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 06\/08\/2006\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 594\u003cbr\u003e\u003cb\u003eBinding Type:\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\u003cbr\u003e\u003cb\u003eISBN:\u003c\/b\u003e 9780521853378\u003cbr\u003e\u003cp\u003e\u003cb\u003eAbout the Author\u003c\/b\u003e\u003cbr\u003e\u003cb\u003e\u003ci\u003eCohn, P. M.:\u003c\/i\u003e\u003c\/b\u003e - Paul Cohn is a Emeritus Professor of Mathematics at the University of London and Honorary Research Fellow at University College London.\u003c\/p\u003e","brand":"Cambridge University Press","offers":[{"title":"Hardcover","offer_id":44456475361395,"sku":"9780521853378","price":348.02,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0555\/9255\/0515\/files\/img_912c3328-ba97-4016-83e1-d5ae39143afc.jpg?v=1773750959","url":"https:\/\/bookstorenmore.com\/products\/free-ideal-rings-and-localization-in-general-rings-9780521853378","provider":"Bookstore N More","version":"1.0","type":"link"}