Gröbner bases in ring theory
 Responsibility
 Huishi Li.
 Language
 English.
 Imprint
 Singapore ; Hackensack, NJ : World Scientific Publishing Co., c2012.
 Physical description
 x, 284 p. : ill ; 24 cm.
Access
Available online
 ebooks.worldscinet.com World Scientific
 ebrary
Math & Statistics Library
Stacks
Call number  Status 

QA251.3 .L48 2012  Unknown 
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Creators/Contributors
 Author/Creator
 Li, Huishi.
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 271280) and index.
 Contents

 The ΓLeading Homogeneous Algebra AΓLH Grobner Bases: Conception and Construction Grobner Basis Theory Meets PBW Theory Using ABLH in Terms of Grobner Bases Recognizing (Non)Homogeneous pKoszulity via ABLH A Study of Rees Algebra by Grobner Bases Looking for More Grobner Bases.
 (source: Nielsen Book Data)
 Publisher's Summary
 This monograph strives to introduce a solid foundation on the usage of Grobner 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 Grobner bases, presents a constructive PBW theory in a quite extensive context and, along the routes built via the PBW theory, this book demonstrates novel methods of using Grobner bases in determining and recognizing many more structural properties of algebras, such as the Gelfand  Kirillov dimension, Noetherianity, (semi)primeness, PIproperty, finiteness of global homological dimension, Hilbert series, (non)homogeneous pKoszulity, PBWdeformation, and regular central extension. With a selfcontained and constructive Grobner basis theory for algebras with a skew multiplicative Kbasis, 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).
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2012
 ISBN
 9789814365130
 9814365130