Free ideal rings and localization in general rings

Main
Mathematics - Algebra
Free ideal rings and localization in...

Free ideal rings and localization in general rings

Name: Free ideal rings and localization in general rings
ISBN: 9780521853378

Paul M. Cohn

0 / 0

0 comments

Насколько вам понравилась эта книга?

Какого качества скаченный файл?

Скачайте книгу, чтобы оценить ее качество

Какого качества скаченные файлы?

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.

Категории:

Mathematics - Algebra

Год:

2006

Издательство:

Cambridge University Press

Язык:

english

Страницы:

596

ISBN 10:

0521853370