Free Ideal Rings and Localization in General Rings 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024


Free Ideal Rings and Localization in General Rings

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Cohn, P. M. 作者
Cambridge Univ Pr
譯者
2006-6 出版日期
594 頁數
$ 255.38 價格
HRD
New Mathematical Monographs 叢書系列
9780521853378 圖書編碼

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Free Ideal Rings and Localization in General Rings 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Free Ideal Rings and Localization in General Rings 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Free Ideal Rings and Localization in General Rings 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024



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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. Particular emphasis is placed on rings with a weak algorithm, exemplified by free associative algebras. There is also a full account of localization which is treated for general rings but the features arising in firs are given special attention. Each section has a number of exercises, including some open problems, and each chapter ends in a historical note.

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