Gr bner Bases in Ring Theory is popular PDF and ePub book, written by Huishi Li in 2012, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Gr bner Bases in Ring Theory can be Read Online from any device for your convenience.
Gr bner Bases in Ring Theory Book PDF Summary
This monograph strives to introduce a solid foundation on the usage of Grbner 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 Grbner 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 Grbner 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 Grbner 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).
Detail Book of Gr bner Bases in Ring Theory PDF
- Author : Huishi Li
- Release : 22 September 2024
- Publisher : World Scientific
- ISBN : 9789814365130
- Genre : Mathematics
- Total Page : 295 pages
- Language : English
- PDF File Size : 15,9 Mb
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