TY - BOOK ID - 77944179 TI - Gröbner bases in ring theory PY - 2012 SN - 9814365149 9789814365147 1299671837 9781299671836 9789814365130 9814365130 PB - New Jersey World Scientific DB - UniCat KW - Gröbner bases. KW - Rings (Algebra) KW - Gröbner basis theory KW - Commutative algebra KW - Algebraic rings KW - Ring theory KW - Algebraic fields KW - Gröbner, Wolfgang, KW - Gröbner, W. UR - https://www.unicat.be/uniCat?func=search&query=sysid:77944179 AB - This monograph strives to introduce a solid foundation on the usage of Gröbner 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 Gröbner 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 Gröbner bases in determining and recognizing many more structural properties of algebras, such as the Gelfand-Kirillov dimension, Noetherianity, (semi-)primeness, PI-property, finitenes ER -