This monograph strives to introduce a solid foundation on the usage of Groebner bases in ring theory by focusing on noncommutative associative algebras defined by relations over a field K. It also reveals the intrinsic structural properties of Groebner bases, presents a constructive PBW theory in a quite extensive context and, along the routes built via the PBW theory, the book demonstrates novel methods of using Groebner bases in determining and recognizing many more structural properties of algebras, such as the Gelfand-Kirillov dimension, Noetherianity, (semi-)primeness, PI-property, finiteness of global homological dimension, Hilbert series, (non-)homogeneous p-Koszulity, PBW-deformation, and regular central extension.With a self-contained and constructive Groebner basis theory for algebras with a skew multiplicative K-basis, numerous illuminating examples are constructed in the book for illustrating and extending the topics studied. Moreover, perspectives of further study on the topics are prompted at appropriate points. This book can be of considerable interest to researchers and graduate students in computational (computer) algebra, computational (noncommutative) algebraic geometry; especially for those working on the structure theory of rings, algebras and their modules (representations).
- ISBN:
- 9789814365130
- 9789814365130
- Category:
- Algebraic geometry
- Format:
- Hardback
- Publication Date:
- 12-10-2011
- Publisher:
- World Scientific Publishing Co Pte Ltd
- Country of origin:
- Singapore
- Pages:
- 296
- Dimensions (mm):
- 229x152x23mm
- Weight:
- 0.59kg
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 Grobner Bases In Ring Theory.
Share This Book: