Free Ideal Rings and Localization in General Rings - Couverture rigide

Cohn, P. M.

Couverture rigide

ISBN 10 : 0521853370 ISBN 13 : 9780521853378

Editeur : Cambridge University Press, 2006

Synopsis

Book by Cohn P M

A propos du livre

Présentation de l'éditeur :

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.

Biographie de l'auteur :

Paul Cohn is a Emeritus Professor of Mathematics at the University of London and Honorary Research Fellow at University College London.

À propos de cette édition

• Éditeur: Cambridge University Press
• Date d'édition: 2006
• ISBN 10: 0521853370
• ISBN 13: 9780521853378
• Reliure: Relié
• Nombre de pages: 594