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TitleOn some Basic Applications of Gröbner bases in Non-commutative Polynomial Rings
Author(s) Patrik Nordbeck
TypeArticle in Journal
AbstractIn this paper we generalize some basic applications of Groebner bases in commutative polynomial rings to the non-commutative case. We define a non-commutative 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.

Length10
File
LanguageEnglish
JournalGröbner Bases and Applications
SeriesLMS Lecture Notes Series
Volume251
Year1998
Edition0
Translation No
Refereed No
Institution Lund Institute of Technology
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