Hardback
Publication Date: 08/06/2006
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.
- ISBN:
- 9780521853378
- 9780521853378
- Category:
- Algebra
- Format:
- Hardback
- Publication Date:
- 08-06-2006
- Language:
- English
- Publisher:
- Cambridge University Press
- Country of origin:
- United Kingdom
- Pages:
- 594
- Dimensions (mm):
- 234x160x34mm
- Weight:
- 0.96kg
Click 'Notify Me' to get an email alert when this item becomes available
Great!
Click on Save to My Library / Lists
Click on Save to My Library / Lists
Select the List you'd like to categorise as, or add your own
Here you can mark if you have read this book, reading it or want to read
Awesome! You added your first item into your Library
Great! The fun begins.
Click on My Library / My Lists and I will take you there
Click on My Library / My Lists and I will take you there
Reviews
Be the first to review Free Ideal Rings and Localization in General Rings.
Share This Book: