Free Ideal Rings And Localization In General Rings
Download Free Ideal Rings And Localization In General Rings full books in PDF, epub, and Kindle. Read online free Free Ideal Rings And Localization In General Rings ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Free Ideal Rings and Localization in General Rings
Author | : P. M. Cohn |
Publisher | : Cambridge University Press |
Total Pages | : 21 |
Release | : 2006-06-08 |
Genre | : Mathematics |
ISBN | : 1139454994 |
Download Free Ideal Rings and Localization in General Rings Book in PDF, Epub and Kindle
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.
Free Ideal Rings and Localization in General Rings Related Books
Pages: 21
Pages: 594
Pages: 332
Pages: 298
Pages: 798