| Title | On some basic applications of Gröbner bases in non-commutative polynomial rings |
| Authors | Patrik Nordbeck |
| Publication | London Math. Soc. Lecture Note Ser. |
| Year | 1998 |
| Volume | 251 |
| Pages | 463 - 472 |
| Document type | Conference paper |
| Conference name | 33 Years of Gröbner Bases |
| Conference Date | 1998-02-02 |
| Conference Location | Linz |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Cambridge University Press |
| Abstract English | In this paper we generalize some basic applications of Gröbner bases<br> in commutative polynomial rings to the non-commutative case. We define<br> a non-commutative elimination order. Methods<br> of finding the intersection of two ideals are given. If both the<br> ideals are monomial we deduce a finitely written basis for their intersection. We find the kernel of a<br> homomorphism, and decide membership of the image. Finally we show how to obtain a Gröbner basis for an<br> ideal by considering a related homogeneous ideal. |
| ISBN/ISSN/Other | ISBN: 0-521-63298-6 |
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