Title  On some Basic Applications of Gröbner bases in Noncommutative Polynomial
Rings 
Author(s)  Patrik Nordbeck 
Type  Article in Journal 
Abstract  In this paper we generalize some basic applications of Groebner bases in commutative polynomial rings to the noncommutative case. We define a noncommutative elimination order. Methods of finding the intersection of two ideals are given. If both the ideals are monomial we deduce a finitely written basis for their intersection. We find the kernel of a homomorphism, and decide membership of the image. Finally we show how to obtain a Groebner basis for an ideal by considering a related homogeneous ideal.

Length  10 
File 

Language  English 
Journal  Gröbner Bases and Applications 
Series  LMS Lecture Notes Series 
Volume  251 
Year  1998 
Edition  0 
Translation 
No 
Refereed 
No 
Institution 
Lund Institute of Technology 